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Reciprocal Equation #3 (Posted on 2010-07-02) Difficulty: 3 of 5
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

No Solution Yet Submitted by K Sengupta    
Rating: 2.0000 (1 votes)

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Solution 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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