Question

In a magic square given below each row, column and diagonal should have the same sum. Find the values of x, y, and z.

1	-10	x
y	-3	-2
-6	4	z

Answer 1

Column total = Row total = diagonal total 

∴ 1 + y + (-6) = (-10) + (-3) + 4 

y + (- 5) = -13 + 4

y = -9 + 5 

y = -4 

So 1 + (-10) + x = y + (-3) + (-2) 

-9 + x = (-4) + (-3) + (-2) 

-9 + x = -9 

x = -9 + 9 

x = 0 

Now x + (-2) + z = (-10) + (-3) + 4 

0 + (-2) + z = (-13) + 4

-2 + z = -9 

z = -9 + 2 = -7 

z = -7 

∴ x = 0, y = -4, z = -7