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Ratio Sum Equals Positive Integer (Posted on 2015-08-30) Difficulty: 3 of 5
Does there exist an infinite number of positive integer pairs (x, y) such that:
(x+1)/y + (y+1)/x is a positive integer?

Give reasons for your answer.

No Solution Yet Submitted by K Sengupta    
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Question re: Answer, maybe full solution. | Comment 2 of 3 |
(In reply to Answer, maybe full solution. by Jer)

Jer:


So, just to be clear, you are saying that yes, there are infinitely many?  In fact, there are infinitely many that equal 3 and infinitely many that yield 4?



  Posted by Steve Herman on 2015-08-30 19:31:40
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