perplexus.info :: Just Math : Another 2006 Problem

Another 2006 Problem (Posted on 2006-09-30)

Determine the total number of positive integer solutions of:

2/x + 3/y = 1/2006

See The Solution Submitted by K Sengupta

Rating: 5.0000 (1 votes)

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agree with xdog

| Comment 5 of 9 |

I also get 72 as follows: y = 6018x/(x-4012) so x > 4012. Also

y = 6018 + 6018*4012/(x-4012) so every factor of 6018*4012 added to 4012 is a satisfactory x value and 6018*4012 has 72 factors.

Posted by Dennis on 2006-09-30 17:28:20

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