SOLUTION: using the numbers 0-15 fill in the matrix so that all rows,columns and both diagonals sum to the same number

Question 662336: using the numbers 0-15 fill in the matrix so that all rows,columns and both diagonals sum to the same number
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Starting with 0 in the upper left corner, enter the numbers in order, left to right, going back to the left of the next row each time you have entered the last number in a row.

Swap the 15 and the 0. Swap the 5 and the 10. Swap the 6 and the 9. Swap the 3 and the 12. Done.

  0   1   2   3
  4   5   6   7
  8   9  10  11
 12  13  14  15


 15   1   2  12
  4  10   9   7
  8   6   5  11
  3  13  14   0

Magic constant is 30. Note that the 4 corners add up to 30 as well as each group of 4 in the four corners and the group of 4 in the center.

John

My calculator said it, I believe it, that settles it

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