Complete the magic square given below, so that the sum of the numbers in each row or in each column or along each diagonal is 15.
6 | 1 | |
5 | ||
Solving for diagonal,
6 + 5 + x = 15
∴ x = 4
6 | 1 | |
5 | ||
4 |
Solving for first row,
6 + 1 + x = 15
∴ x = 8
6 | 1 | 8 |
5 | ||
4 |
Solving for last column,
8 + x + 4 = 15
∴ x = 3
6 | 1 | 8 |
5 | 3 | |
4 |
Solving for second row,
x + 5 + 3 = 15
∴ x = 7
6 | 1 | 8 |
7 | 5 | 3 |
4 |
Solving for first column,
6 + 7 + x = 15
∴ x = 2
6 | 1 | 8 |
7 | 5 | 3 |
2 | 4 |
Solving second column,
1 + 5 + x = 15
∴ x = 9
∴
6 | 1 | 8 |
7 | 5 | 3 |
2 | 9 | 4 |