Question

Complete the following magic square by supplying the missing numbers:

Answer 1

In magic square the numbers in each vertical, horizontal, and diagonal row add up to the same value.
Sum of diagonal elements = 2 + 12 + 7 + 17 = 38
Now
Missing element in the first column = 38 − (2 + 9 + 14) = 38 − 25 = 13
Missing element in the first row = 38 − (2 + 15 + 16) = 38 − 33 = 5
Missing element in the second row and fourth column = 38 − (5 + 10 + 17) = 38 − 32 = 6
Missing element in the second row and third column = 38 − (9 + 12 + 6) = 38 − 27 = 11
Missing element in the fourth row and third column = 38 − (16 + 11 + 7) = 38 − 34 = 4
Missing element in the third row and third column = 38 − (13 + 7 + 10) = 38 − 30 = 8
Missing element in the fourth row and second column = 38 − (14 + 4 + 17) = 38 − 35 = 3
Hence, the complete magic square is