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Rationally Integers (Posted on 2009-06-16) Difficulty: 3 of 5
Determine all possible triplet(s) (p,q,r) of positive rational numbers such that each of p+q+r, p-1 + q-1 + r-1 and p*q*r is an integer.

No Solution Yet Submitted by K Sengupta    
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Some Thoughts some obvious ones | Comment 1 of 2

(1,1,1)

(3,3,3)

(2,2,1) and its permutations

I can't think of any where the rational numbers are not also integers.

Edited on June 16, 2009, 12:24 pm
  Posted by Charlie on 2009-06-16 12:24:14

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