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JJJKBurke · Nov 6, 2012, 11:38 AM

Hi
Can you solve a 3x3 magic square with a total of 25? Is it possible with whole numbers? Does the middle number have to be a third of the total?
Thanks
John B

ebaines · Nov 6, 2012, 12:58 PM

The "standard" 3x3 magic square adds to 15. If you want it to add to any value X you can simply increment each of the entries in the "standard" version by (X-15)/3. With that you should be able to answer the first two questions. As for the third one: a little thinking about what happens if the middle number is less than 1/3 the total (or more than 1/3) and what the implications would be for the other numbers should help you get the answer.

JJJKBurke · Nov 6, 2012, 01:19 PM

Thanks
So I presume it's not possible with total of 25 using whole integers.

ebaines · Nov 6, 2012, 01:28 PM

Originally Posted by JJJKBurke

Thanks
So I presume it's not possible with total of 25 using whole integers.

I believe that's correct.

JJJKBurke · Nov 6, 2012, 02:13 PM

Thanks