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Fraction Sum Satisfaction (Posted on 2014-08-09) Difficulty: 3 of 5
Determine all possible pairs (x,y) of positive integers such that gcd(x,y)=1 and x/y + 14y/(9x) is an integer.

Prove that there are no others.

No Solution Yet Submitted by K Sengupta    
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Solution 5 answers | Comment 1 of 3

(x,y,z)= (2,3,3);  for getting a sum=3

(x,y,z)= (1,3,5); (7,3,5 ) for getting a sum=5

Edited, (after seeing Charlie's post) erasing  solutions with gcd not =1.

Did not fnd (14,3,5) - so actually there are 4 anwers.

Edited on August 9, 2014, 2:05 pm
  Posted by Ady TZIDON on 2014-08-09 10:33:22

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