Asked by edina

you have the numbers from 1 through 9. divide them into 3 groups so that each group has the same total after adding the digits in them..
i got until: adding all the digits makes 45 and and divided by 3 so each will be 15, but what next? any method for that or do it by trial and error?

Answers

Answered by Reiny
how about this one:

8 1 6
3 5 7
4 9 2

Each row, each column and each diagonal adds up to 15
Answered by edina
Thanks a million!! but how did you get to it? is there a formula or method to deal with this kind of questions or just try to switch around and maybe stumble upon the right one? actually i was working on it, too and came up with 8 7, 9 6, 1 2 3 4 5 ,(as it did not say the groups has to have the same amount of numbers in them, only that the total has to be the same..)
your answer is very elegant
Answered by Reiny
yes, there are methods and "formulas" to do these
Google "magic squares" and you will see all kinds of stuff
There is a very easy pattern for any odd-sized square which should be found in the first few results
Even-sized squares are a bit more difficult
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