The numbers 1 through 9 are arranged in a 3 x 3 grid so that each number is in the grid exactly once. They are arranged such that the top row plus the middle row gives the bottom row. If the grid forms another such addition when it is rotated 90 degrees to the left, what is its composition?
(Note: The numbers don't flip, for example 6 doesn't turn into 9.)
(In reply to solution
Very nice. I encourage you to show how you arrived at your
solution, and discuss if these are the only two possible answers.
If you used a program to help solve this, please post it as well.