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GCD to product (Posted on 2013-10-03) Difficulty: 3 of 5
Determine all possible pairs (x,y) of positive integers, with x ≤ y, that satisfy this equation:
           x*y = 160 + 90*gcd(x,y)

No Solution Yet Submitted by K Sengupta    
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Small correction | Comment 3 of 4 |
I found the same solutions as Daniel, but it's necessary to check the self-consistency of the gcd.  (10,25) and (5,50) don't work because they have gcd 5 rather than 1.
  Posted by Tristan on 2013-10-03 22:42:14
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