perplexus.info :: Just Math : Reciprocal Equation #3

Reciprocal Equation #3 (Posted on 2010-07-02)

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

See The Solution Submitted by K Sengupta

Rating: 3.5000 (2 votes)

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Solution

| Comment 3 of 5 |

There are 9 triplets (x, y, z) of positive integers, with x<=y<=z, that satisfy the equation 1/x + 1/y + 1/z = 7/15.
(3, 8, 120) (3, 9, 45) (3, 10, 30) (3, 12, 20) (3, 15, 15) (4, 5, 60) (4, 6, 20) (5, 5, 15) (5, 6, 10)

Posted by Dej Mar on 2010-07-02 17:03:32

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