Consider three positive integers x< y< z in Harmonic Sequence.

Determine all possible values of the positive integer constant S for which the equation 15x + Sy = 15z admits of valid solutions.

Here are a few found by using brute force:

  S   x   y   z
  8  12  15  20
 20   2   3   6
 36   3   5  15
112   8  15 120

Edited on March 29, 2007, 7:51 pm

Posted by Dej Mar on 2007-03-28 22:44:20