Are there any tricks to sloving magic squares?
Q. Directions: Find y + z. The sums of the numbers in each row, column, and diagonal are the same. Five of the numbers are represented my v,w,x,y, and z. This is kind of what the square looks like: (commas are seperating squares) (there are 9 individual squares) v, 24, w 18, x, y 25, z, 21 Anyone have any tricks of suggestions?
Asked by Lola W - Wed Feb 6 19:06:57 2008 - - 1 Answers - 0 Comments
A. Find v in terms of z: 18 + 25 + v = 25 + 21 + z 43 + v = 46 + z v = 3 + z Find x using v and z: (z+3) + x + 21 = 25 + 21 + z z + 24 + x = 46 + z x = 22 Find w in a similar way: (z+3) + 24 + w = 24 + 22 + z z + 27 + w = 46 + z w = 19 Each side = 25 + 22 + 19 = 66 Find y and z: 19 + y + 21 = 66 y = 26 24 + 22 + z = 66 z = 20 y + z = 46 Final magic square: 23 24 19 1822 26 2520 21
Answered by dashizzle - Wed Feb 6 19:40:27 2008
Q. Directions: Find y + z. The sums of the numbers in each row, column, and diagonal are the same. Five of the numbers are represented my v,w,x,y, and z. This is kind of what the square looks like: (commas are seperating squares) (there are 9 individual squares) v, 24, w 18, x, y 25, z, 21 Anyone have any tricks of suggestions?
Asked by Lola W - Wed Feb 6 19:06:57 2008 - - 1 Answers - 0 Comments
A. Find v in terms of z: 18 + 25 + v = 25 + 21 + z 43 + v = 46 + z v = 3 + z Find x using v and z: (z+3) + x + 21 = 25 + 21 + z z + 24 + x = 46 + z x = 22 Find w in a similar way: (z+3) + 24 + w = 24 + 22 + z z + 27 + w = 46 + z w = 19 Each side = 25 + 22 + 19 = 66 Find y and z: 19 + y + 21 = 66 y = 26 24 + 22 + z = 66 z = 20 y + z = 46 Final magic square: 23 24 19 1822 26 2520 21
Answered by dashizzle - Wed Feb 6 19:40:27 2008
Can someone give me a complete walk-through of the Magic Squares method of finding the GCF and LCM in math?
Q. PLEASE! I need it for homework and a big test on Friday. I just don't get it. And, I won't be there tomorrow to ask for help from the teacher because I have to go to Gifted Enrichment on Thursdays!! HELp?
Asked by Me! Hah. - Wed Nov 14 21:29:51 2007 - - 1 Answers - 0 Comments
A. I don't know if this is the magic squares, but this is how I teach finding the GCF and LCD. In both cases do a prime factor tree for the numbers that you are given. Lets pick two numbers 24 and 36. Prime factors for 24 are 2*2*2*3 and for 36 are 2*2*3*3 Now if you are doing GCF, you pick only those that factors that are common to both (or for every one if you are doing more than 2) they are 2*2*3 Multiply these together and get the GCF of 12 If you are doing LCD, look at each factor tree and pick the most for each prime. so you have 2*2*2*3*3 or 72. Note: the 2*2*2 come from the factors of 24 and the 3*3 come from the factors of 36. If you have more than two numbers, still pick only the most for each prime number and then… [cont.]
Answered by Maverick - Wed Nov 14 22:36:44 2007
Q. PLEASE! I need it for homework and a big test on Friday. I just don't get it. And, I won't be there tomorrow to ask for help from the teacher because I have to go to Gifted Enrichment on Thursdays!! HELp?
Asked by Me! Hah. - Wed Nov 14 21:29:51 2007 - - 1 Answers - 0 Comments
A. I don't know if this is the magic squares, but this is how I teach finding the GCF and LCD. In both cases do a prime factor tree for the numbers that you are given. Lets pick two numbers 24 and 36. Prime factors for 24 are 2*2*2*3 and for 36 are 2*2*3*3 Now if you are doing GCF, you pick only those that factors that are common to both (or for every one if you are doing more than 2) they are 2*2*3 Multiply these together and get the GCF of 12 If you are doing LCD, look at each factor tree and pick the most for each prime. so you have 2*2*2*3*3 or 72. Note: the 2*2*2 come from the factors of 24 and the 3*3 come from the factors of 36. If you have more than two numbers, still pick only the most for each prime number and then… [cont.]
Answered by Maverick - Wed Nov 14 22:36:44 2007
What's the secret/key to doing magic squares?
Q. I know you place the median in the middle, but what do you do next?
Asked by guitarstring - Mon Jan 28 01:25:34 2008 - - 1 Answers - 0 Comments
A. This technique works for magic squares with an odd number of cells. I don't know any rule for squares with an even number. Enter the integers in order from 1 to n^2 where n is the number of cells along one side of the square, following these rules: Start in the middle cell of the bottom row. Move diagonally south west to the next square. When you end up outside the magic square at the bottom or at the top, move to the opposite end of the same column. When you end up outside the magic square at the side, move to the opposite end of the same row. When you end up outside the magic square at a corner, or the cell you should be using is already occupied, place the next number directly above the one you last filled in. You will always get… [cont.]
Answered by unknown - Mon Jan 28 17:15:23 2008
Q. I know you place the median in the middle, but what do you do next?
Asked by guitarstring - Mon Jan 28 01:25:34 2008 - - 1 Answers - 0 Comments
A. This technique works for magic squares with an odd number of cells. I don't know any rule for squares with an even number. Enter the integers in order from 1 to n^2 where n is the number of cells along one side of the square, following these rules: Start in the middle cell of the bottom row. Move diagonally south west to the next square. When you end up outside the magic square at the bottom or at the top, move to the opposite end of the same column. When you end up outside the magic square at the side, move to the opposite end of the same row. When you end up outside the magic square at a corner, or the cell you should be using is already occupied, place the next number directly above the one you last filled in. You will always get… [cont.]
Answered by unknown - Mon Jan 28 17:15:23 2008
Are there Alphabetic magic Squares othere than the Templar Square?
Q. Are there other Alphabetic magic Squares other than the Templare Square? What are some famous examples? Thanks.
Asked by will.hunter - Tue Apr 24 16:21:39 2007 - - 1 Answers - 0 Comments
A. I don't know how famous any of them might be, but here's a few good links: of course, wikipedia saves the mathematical day :)
Answered by Ben - Thu Apr 26 23:05:18 2007
Q. Are there other Alphabetic magic Squares other than the Templare Square? What are some famous examples? Thanks.
Asked by will.hunter - Tue Apr 24 16:21:39 2007 - - 1 Answers - 0 Comments
A. I don't know how famous any of them might be, but here's a few good links: of course, wikipedia saves the mathematical day :)
Answered by Ben - Thu Apr 26 23:05:18 2007
URGENT Magic Squares by Ben Franklin?
Q. I need some websites and understaning of each magic square.
Asked by Guttuer Boi - Fri Oct 3 11:48:47 2008 - - 2 Answers - 0 Comments
A. See below.
Answered by staisil - Fri Oct 3 11:53:21 2008
Q. I need some websites and understaning of each magic square.
Asked by Guttuer Boi - Fri Oct 3 11:48:47 2008 - - 2 Answers - 0 Comments
A. See below.
Answered by staisil - Fri Oct 3 11:53:21 2008
How many types of magic squares are there?
Q. How many types of magic squares are there?
Asked by <3 - Mon Jan 1 20:19:09 2007 - - 3 Answers - 0 Comments
A. I am not sure what you mean by types of magic squares, but here are a couple. There is the kind where rows columns and diagonals add up to the same sum, like: 8 1 6 3 5 7 4 9 2 Here is a 4x4 one, which I believe has some other sets of four numbers that add up to the same sum (like four corners and the middle block of 4): 1 15 14 4 12 6 7 9 8 10 11 5 13 3 2 16 a whole bunch of sets of 4 add up to 34. Note that even sized magic squares are hard to make, but there is a easy way to make odd sized magic squares (wikipedia may have the method). You can also make magic squares, so that the product of all the rows columns and diagonals is the same (though you cannot do so with consecutive integers. Here is an example: 18 … [cont.]
Answered by Phineas Bogg - Mon Jan 1 20:37:52 2007
Q. How many types of magic squares are there?
Asked by <3 - Mon Jan 1 20:19:09 2007 - - 3 Answers - 0 Comments
A. I am not sure what you mean by types of magic squares, but here are a couple. There is the kind where rows columns and diagonals add up to the same sum, like: 8 1 6 3 5 7 4 9 2 Here is a 4x4 one, which I believe has some other sets of four numbers that add up to the same sum (like four corners and the middle block of 4): 1 15 14 4 12 6 7 9 8 10 11 5 13 3 2 16 a whole bunch of sets of 4 add up to 34. Note that even sized magic squares are hard to make, but there is a easy way to make odd sized magic squares (wikipedia may have the method). You can also make magic squares, so that the product of all the rows columns and diagonals is the same (though you cannot do so with consecutive integers. Here is an example: 18 … [cont.]
Answered by Phineas Bogg - Mon Jan 1 20:37:52 2007
how to complete magic squares in math?
Q. like those things with a magic sum and ya... how do you do them? please make it easy to understand1
Asked by cutiegirl8292007 - Wed Aug 26 18:08:37 2009 - - 1 Answers - 0 Comments
Q. like those things with a magic sum and ya... how do you do them? please make it easy to understand1
Asked by cutiegirl8292007 - Wed Aug 26 18:08:37 2009 - - 1 Answers - 0 Comments
What do magic squares do?
Q. Magic squares, what are their uses and how does this work? What do they do?
Asked by mabo44 - Sun Mar 1 21:22:42 2009 - - 4 Answers - 0 Comments
A. Merry meet to you from witchtalismans This is a set of whole numbers, starting with one, arranged so that when horizontal, vertical or diagonal lines are added together, it produces a total that is the same. This can also be done with letters yet it requires a system known by the keeper and or the group.
Answered by Mirsada S.O.N - Mon Mar 2 13:25:21 2009
Q. Magic squares, what are their uses and how does this work? What do they do?
Asked by mabo44 - Sun Mar 1 21:22:42 2009 - - 4 Answers - 0 Comments
A. Merry meet to you from witchtalismans This is a set of whole numbers, starting with one, arranged so that when horizontal, vertical or diagonal lines are added together, it produces a total that is the same. This can also be done with letters yet it requires a system known by the keeper and or the group.
Answered by Mirsada S.O.N - Mon Mar 2 13:25:21 2009
How do I create a three square magic square using 5,7 and 8?
Q. My children got a magic square problem. There are three squares and the numbers are 5,7 and 8 which add up to 20.I it added up fine diagonally and up down and across. But one diagonal did not work out. My children told me something was wrong. What is wrong? What can be done to fix it? Is there a secret or special technique associated with magic squares?
Asked by Aoiffe337 - Fri Mar 20 14:55:58 2009 - - 1 Answers - 0 Comments
A. From what I can see, it's impossible. Let's say in the top row, you put 5,7,8 In the diagonal from the top left to the bottom right, you need another 7, and another 8 And in each row going down, you cannot have more than one of each number. (So they add to 20) So all that you can do for this diagonal is: 5,7,8 8 7 As you can probably see, a new diagonal is formed with two 8s in it. So the magic square is not possible to complete. It doesn't matter whether you start with 5,7,8 in a different order either, you'll just come across the same problem.
Answered by Tom - Sun Mar 22 07:28:45 2009
Q. My children got a magic square problem. There are three squares and the numbers are 5,7 and 8 which add up to 20.I it added up fine diagonally and up down and across. But one diagonal did not work out. My children told me something was wrong. What is wrong? What can be done to fix it? Is there a secret or special technique associated with magic squares?
Asked by Aoiffe337 - Fri Mar 20 14:55:58 2009 - - 1 Answers - 0 Comments
A. From what I can see, it's impossible. Let's say in the top row, you put 5,7,8 In the diagonal from the top left to the bottom right, you need another 7, and another 8 And in each row going down, you cannot have more than one of each number. (So they add to 20) So all that you can do for this diagonal is: 5,7,8 8 7 As you can probably see, a new diagonal is formed with two 8s in it. So the magic square is not possible to complete. It doesn't matter whether you start with 5,7,8 in a different order either, you'll just come across the same problem.
Answered by Tom - Sun Mar 22 07:28:45 2009
Is there a program out there that can generate extremely large magic squares, stars, cubes and so on?
Q. They say that computer generated magic squares dont count for world records. So there must be a program that generates the large ones. There are order 10001, and order 3001 magic squares. I would love to see those magic figures and show them to my classmates. Here are a few that I find to be pretty cool: Here's a really basic order 3, for those who dont know what they are, Here's a good order 11c magic star, Here's a cool order 4 magic cube, Here's my favorite, a 3D magic star with two interlocking triangle based pyramids. Amazing!, Here's a cool magic hexagon, There has got to be a program out there that finds these things. Do you guys know of any?
Asked by College guy - Wed Jul 4 17:01:44 2007 - - 1 Answers - 0 Comments
A. Um... Yahoo! answers is for us simple folks. If I by chance run across what I think you might be looking for, I'll let you know. ;^) I'll add on what I might find.
Answered by dumbblond - Wed Jul 4 17:32:06 2007
Q. They say that computer generated magic squares dont count for world records. So there must be a program that generates the large ones. There are order 10001, and order 3001 magic squares. I would love to see those magic figures and show them to my classmates. Here are a few that I find to be pretty cool: Here's a really basic order 3, for those who dont know what they are, Here's a good order 11c magic star, Here's a cool order 4 magic cube, Here's my favorite, a 3D magic star with two interlocking triangle based pyramids. Amazing!, Here's a cool magic hexagon, There has got to be a program out there that finds these things. Do you guys know of any?
Asked by College guy - Wed Jul 4 17:01:44 2007 - - 1 Answers - 0 Comments
A. Um... Yahoo! answers is for us simple folks. If I by chance run across what I think you might be looking for, I'll let you know. ;^) I'll add on what I might find.
Answered by dumbblond - Wed Jul 4 17:32:06 2007
Where can I find magic Squares and there solutions?
Q. Where can I find magic Squares and there solutions?
Asked by reader_of_thought - Fri Mar 10 01:30:22 2006 - - 2 Answers - 0 Comments
A. Some websites are :
Answered by Little Mermaid - Fri Mar 10 04:34:42 2006
Q. Where can I find magic Squares and there solutions?
Asked by reader_of_thought - Fri Mar 10 01:30:22 2006 - - 2 Answers - 0 Comments
A. Some websites are :
Answered by Little Mermaid - Fri Mar 10 04:34:42 2006
Why would someone want to learn about Magic Squares?
Q. Why would someone want to learn about Magic Squares?
Asked by <3 - Mon Jan 1 20:02:49 2007 - - 1 Answers - 0 Comments
A. I think it is because Magic Squares can boost our thinking skills and very challenging.
Answered by lois lane - Mon Jan 1 21:05:31 2007
Q. Why would someone want to learn about Magic Squares?
Asked by <3 - Mon Jan 1 20:02:49 2007 - - 1 Answers - 0 Comments
A. I think it is because Magic Squares can boost our thinking skills and very challenging.
Answered by lois lane - Mon Jan 1 21:05:31 2007
how do you solve magic squares in math?
Q. im so confused help thanks
Asked by gwenygwen16 - Mon Oct 23 21:56:46 2006 - - 4 Answers - 0 Comments
A. How To Solve Magic Squares (Magic Square: A square in which the sum of each row, column, and diagonal equals the same number.) I've always wondered whether there was any trick to solving these. Today, my math teacher revealed the secret to me. I'm so thrilled that I finally learned how to do these that I have to share the secret. I will use a 3 3 square as an example: Start with "1" in the top row, middle column. Example: 1 go up one and to the right one space. In this case, up one rolls down to the bottom row. If you're on the top row and have to go up, then move to the bottom row; if you're on the right-most column and have to go right, go to the left-most column. The only exception is in the upper-right corner.… [cont.]
Answered by asd589 - Mon Oct 23 22:00:05 2006
Q. im so confused help thanks
Asked by gwenygwen16 - Mon Oct 23 21:56:46 2006 - - 4 Answers - 0 Comments
A. How To Solve Magic Squares (Magic Square: A square in which the sum of each row, column, and diagonal equals the same number.) I've always wondered whether there was any trick to solving these. Today, my math teacher revealed the secret to me. I'm so thrilled that I finally learned how to do these that I have to share the secret. I will use a 3 3 square as an example: Start with "1" in the top row, middle column. Example: 1 go up one and to the right one space. In this case, up one rolls down to the bottom row. If you're on the top row and have to go up, then move to the bottom row; if you're on the right-most column and have to go right, go to the left-most column. The only exception is in the upper-right corner.… [cont.]
Answered by asd589 - Mon Oct 23 22:00:05 2006
What are all the magic squares?
Q. 438 951 276 For example in each colum, row, and diagonally across adds up to 15.
Asked by harpist250 - Mon Feb 19 23:26:42 2007 - - 2 Answers - 0 Comments
A. the diagonals multiply to be 120 thats all i can find i hope i was helpful good luck
Answered by theOffice - Mon Feb 19 23:30:41 2007
Q. 438 951 276 For example in each colum, row, and diagonally across adds up to 15.
Asked by harpist250 - Mon Feb 19 23:26:42 2007 - - 2 Answers - 0 Comments
A. the diagonals multiply to be 120 thats all i can find i hope i was helpful good luck
Answered by theOffice - Mon Feb 19 23:30:41 2007
Magic Squares Problems?
Q. How do you figure them out? For example, for the first box i got.. 10 3 8 5 7 9 6 11 4 making the magic number become 21. For the second one, it is 13 ? ? 16 8 ? 10 ? 12 7 ? ? 1 ? ? ? how do you do that one? Is there a special formula for the magic squares?
Asked by jj - Mon Dec 1 21:27:20 2008 - - 2 Answers - 0 Comments
A. There isn't a special formula, but there is a definite pattern that you can use once you practice recognizing it. Assumption: You can only use numbers 1 through 16. This magic square is a version of Albrecht Duerer's magic square that has been rotated symmetrically. Albrecht Duerer's magic square: [16 3 .. 2 13] [5 . 10 11 8] [9 . 6 .. 7 12] [4 15 . 14 1] ~~~ You can apply the general way of solving magic squares to what you're given. [13 ? ? .. 16] [8 .. ? 10 .. ?] [12 7 ? .. .. ?] [1 .. ? ? .. .. ?] We're in luck because the position of 1 is given. We also know that we're starting in a counterclockwise direction. The first step involves filling in the diagonals. Recognize the pattern that… [cont.]
Answered by Lucy - Tue Dec 2 06:39:34 2008
Q. How do you figure them out? For example, for the first box i got.. 10 3 8 5 7 9 6 11 4 making the magic number become 21. For the second one, it is 13 ? ? 16 8 ? 10 ? 12 7 ? ? 1 ? ? ? how do you do that one? Is there a special formula for the magic squares?
Asked by jj - Mon Dec 1 21:27:20 2008 - - 2 Answers - 0 Comments
A. There isn't a special formula, but there is a definite pattern that you can use once you practice recognizing it. Assumption: You can only use numbers 1 through 16. This magic square is a version of Albrecht Duerer's magic square that has been rotated symmetrically. Albrecht Duerer's magic square: [16 3 .. 2 13] [5 . 10 11 8] [9 . 6 .. 7 12] [4 15 . 14 1] ~~~ You can apply the general way of solving magic squares to what you're given. [13 ? ? .. 16] [8 .. ? 10 .. ?] [12 7 ? .. .. ?] [1 .. ? ? .. .. ?] We're in luck because the position of 1 is given. We also know that we're starting in a counterclockwise direction. The first step involves filling in the diagonals. Recognize the pattern that… [cont.]
Answered by Lucy - Tue Dec 2 06:39:34 2008
magic squares very easy.?
Q. What is the answer to the following magic squares: 12 -? -? --- ? - 29- ? ? -10-? ---&--- ? - ? - ? ? - 6 -8 --- 28-33-32
Asked by unknown - Wed Feb 13 01:21:47 2008 - - 2 Answers - 0 Comments
A. 12 14 16 ---24 29 28 8 10 8---16 21 20 4 6 8---28 33 32
Answered by DIBYAJYOTI - Wed Feb 13 01:26:19 2008
Q. What is the answer to the following magic squares: 12 -? -? --- ? - 29- ? ? -10-? ---&--- ? - ? - ? ? - 6 -8 --- 28-33-32
Asked by unknown - Wed Feb 13 01:21:47 2008 - - 2 Answers - 0 Comments
A. 12 14 16 ---24 29 28 8 10 8---16 21 20 4 6 8---28 33 32
Answered by DIBYAJYOTI - Wed Feb 13 01:26:19 2008
Need help with Magic Squares!?
Q. I need help with doing magic squares. There are 4 math problems below, please help me. Fill in the missing numbers. I really need the help!
Asked by Mike - Tue Sep 9 10:07:44 2008 - - 1 Answers - 0 Comments
A. 1) the first one we know has to be -3 on all sides because of the diagonal 5+-1+-7 = -3 so the answer is 5, -9, 1 -4, -1, 3 -3, 8, -7 2) the next one must equal -15 so the answer is -2, -7, -6 -9, -5, -1 -4, -3, -8 3) for some reason I cant get 3 to work 4) same here, I keep getting them all to match except for one
Answered by BigMac - Tue Sep 9 10:35:15 2008
Q. I need help with doing magic squares. There are 4 math problems below, please help me. Fill in the missing numbers. I really need the help!
Asked by Mike - Tue Sep 9 10:07:44 2008 - - 1 Answers - 0 Comments
A. 1) the first one we know has to be -3 on all sides because of the diagonal 5+-1+-7 = -3 so the answer is 5, -9, 1 -4, -1, 3 -3, 8, -7 2) the next one must equal -15 so the answer is -2, -7, -6 -9, -5, -1 -4, -3, -8 3) for some reason I cant get 3 to work 4) same here, I keep getting them all to match except for one
Answered by BigMac - Tue Sep 9 10:35:15 2008
Magic Squares very simple.?
Q. What is the answer to the following magic squares: 12 -? -? --- ? - 29- ? ? -10-? ---&--- ? - ? - ? ? - 6 -8 --- 28-33-32
Asked by unknown - Wed Feb 13 01:12:48 2008 - - 1 Answers - 0 Comments
A. s
Answered by hava - Wed Feb 13 08:29:07 2008
Q. What is the answer to the following magic squares: 12 -? -? --- ? - 29- ? ? -10-? ---&--- ? - ? - ? ? - 6 -8 --- 28-33-32
Asked by unknown - Wed Feb 13 01:12:48 2008 - - 1 Answers - 0 Comments
A. s
Answered by hava - Wed Feb 13 08:29:07 2008
What's the largest magic square that has been created?
Q. I have seen an eight by eight magic square created by Benjamin Franklin. Has anyone seen or know of a larger one. His was worked out in his head - I guess computers can create them now - but is there a limit to the size that a magic square can go up to?
Asked by Stanleymonkey - Sun Oct 8 18:33:05 2006 - - 3 Answers - 0 Comments
A. There is no limit for computer generated magic squares but there are rules for doing it yourself. The world record is 3001 x 3001 by Louis Caya (Canada) and I think this was printed. The record for hand written magic square is 111 x 111 by Norberk Behnke (Germany) in 1990.
Answered by RATTY - Mon Oct 9 11:30:52 2006
Q. I have seen an eight by eight magic square created by Benjamin Franklin. Has anyone seen or know of a larger one. His was worked out in his head - I guess computers can create them now - but is there a limit to the size that a magic square can go up to?
Asked by Stanleymonkey - Sun Oct 8 18:33:05 2006 - - 3 Answers - 0 Comments
A. There is no limit for computer generated magic squares but there are rules for doing it yourself. The world record is 3001 x 3001 by Louis Caya (Canada) and I think this was printed. The record for hand written magic square is 111 x 111 by Norberk Behnke (Germany) in 1990.
Answered by RATTY - Mon Oct 9 11:30:52 2006
math homework about magic squares.helpp?
Q. The question: Why is the 3-by-3 grid considered the simplest magic square to study? Why not a 2-by-2 grid?
Asked by anonymous - Sun Dec 16 21:37:28 2007 - - 1 Answers - 0 Comments
A. Assume that you can have a magic square with four numbers a, b, c and d such that none of them are equal. a b c d a + b = a + c b = c But we have assumed that a, b, c, and d are four unequal numbers. Therefore it violates out initial assumption. You CANNOT have a 2x2 magic square with 4 different numbers.
Answered by gudspeling - Sun Dec 16 21:47:52 2007
Q. The question: Why is the 3-by-3 grid considered the simplest magic square to study? Why not a 2-by-2 grid?
Asked by anonymous - Sun Dec 16 21:37:28 2007 - - 1 Answers - 0 Comments
A. Assume that you can have a magic square with four numbers a, b, c and d such that none of them are equal. a b c d a + b = a + c b = c But we have assumed that a, b, c, and d are four unequal numbers. Therefore it violates out initial assumption. You CANNOT have a 2x2 magic square with 4 different numbers.
Answered by gudspeling - Sun Dec 16 21:47:52 2007
From Yahoo Answer Search: 'magic squares'
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