Four positive integers A, B, C and D have a sum of 36. If A+2 = B-2 = C+2 = D-2, what is the value of the product ABCD?
A + 2 = B -2 → B = A + 4
A + 2 = C + 2 → A = C
A + 2 = D - 2 → D = A + 4
So
A + B + C + D = 36
A + (A + 4) + A + (A + 4) = 36
4A + 8 = 36
4A = 28
A = 7 C = 7 B = 11 D = 11
ABCD = 7^2 * 11^2 = 5929
