perplexus.info :: Just Math : Fraction Sum Satisfaction

Fraction Sum Satisfaction (Posted on 2014-08-09)

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.

See The Solution Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

re: 5 answers

| Comment 2 of 4 |

(In reply to 5 answers by Ady TZIDON)

4 & 6 do not have gcd=1; same with 2&6 and 3&9

Posted by Charlie on 2014-08-09 13:14:38

Please log in:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info