Determine the total number of triplets (x, y, z) of positive integers, with x ≤ y ≤ z, that satisfy this equation:

1/x + 1/y + 1/z = 7/15

I suggest that the answer might be as follows:

5-6-10, 3-12-20, 4-6-20, 3-10-30, 3-9-45, 4-5-60, 3-8-120

Edited on July 2, 2010, 1:39 pm

Posted by broll on 2010-07-02 13:36:23