Hint
The sum of the nine numbers from 1 to 9 is 45:
1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 = 45
So, the three rows will have sums that add to 45. Also, the three
columns will have sums that add to 45. Choose three different numbers
(greater than 5 and less than 25) that add to get 45. Give the rows
(or columns) these numbers as sums, and then try to place the nine
numbers.
For example, 10 + 15 + 20 = 45
Try to put the nine numbers in the grid so the top row has a sum
of 10, the middle row has a sum of 15, and the bottom row has a
sum of 20.
Then, check the sums on the columns and diagonals. You may need
to do some "moving" of the numbers to make the sums all different.
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