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Reciprocal Equation #4 (Posted on 2013-07-20) Difficulty: 3 of 5
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.

No Solution Yet Submitted by K Sengupta    
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Solution re(2): answer - spoiler Comment 3 of 3 |
(In reply to re: answer - spoiler by K Sengupta)

Thank you, KS.

  Clearly the triplet  (1,1,-4) provides 3 additional answers.

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