Find all triplets (A, B, C) of nonzero integers with A ≤ B ≤ C satisfying:

(1 + 1/A) (1 + 1/B) (1 + 1/C) = 3.

Prove that there are no others.

Note: There may be more than one solution.

(In reply to re: answer - spoiler by K Sengupta)

Thank you, KS.

Posted by Ady TZIDON on 2013-07-22 07:52:57