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A true mathematician would know this problem. So If you know the magic square(You can look it up)I need each of a 3 by 3 square to have one of these each number in it: 5,6,7,8,9,10,11,12, and 13. You can only use one number once.But each row,column and from diagonal must all equal up to 27.

User YDL
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2 Answers

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If you know how to work a 3 by 3 magic square using the digits 1 to 9, you can make any 3 by 3 magic square starting with any number.

Starting Square

8 1 6

3 5 7

4 9 2

This magic square adds up to 15. That is 3 * the center number.

That is not the magic square you want, but it can be made into yours.

Just add 4 to every number in the base magic square.

12 5 10

7 9 11

8 13 5

And the sum is 3 * 9 = 27 in all the rows columns and diagonals, just what you requested. What happens when you have 0 in the center?

That means you take away 5 from every number in the base square.


3 - 4 1

-2 0 2

-1 4 -3

It still works. Every row column and diagonal add to 0.

User Joel Stevick
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6 votes

Attached is one version.

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The key is that 9 must go in the middle.

A true mathematician would know this problem. So If you know the magic square(You-example-1
User Kuldeep Tanwar
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6.7k points