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?
Since A + 2 = C + 2 = D + 2, A = C = D.
Since A + 2 = B - 2, B = A + 4.
Then A + (A + 4) + A + A = 36. i.e., A = 8.
Then A = C = D = 8 and B = 12. ABCD = 8^3 * 12 = 6144.
