perplexus.info :: Just Math : Expression Ratio

Expression Ratio (Posted on 2013-09-03)

Determine all pairs (a,b) of positive integers with a > b, for which (a²+b²)/(a-b) is an integer which divides 1995.

Prove that there are no others.

See The Solution Submitted by K Sengupta

Rating: 5.0000 (1 votes)

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interesting

| Comment 2 of 4 |

a is 2 or 3 times b. In both cases ratio=5b. Meanwhile b ranges over every multiple of the factors of 1995 excluding 5.

Posted by xdog on 2013-09-03 20:55:27

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