perplexus.info :: Just Math : Ratio Resolution V

Ratio Resolution V (Posted on 2022-02-19)

Determine all possible pairs (x,y) of positive integers such that:
        x+1        y+1
Each of ---- and  ----- is a positive integer.
         y          x

**** Adapted from a problem appearing in Polish Mathematical Olympiad.

See The Solution Submitted by K Sengupta

Rating: 5.0000 (2 votes)

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

re: Analytical solution

| Comment 3 of 5 |

(In reply to Analytical solution by Steve Herman)

What justifies the very first step? The product of two non-integers can be an integer.

Posted by Jer on 2022-02-20 11:53:54

Please log in:

Login:
Password:
Remember me:

Sign up! \| Forgot password

Search:

Search body:

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