How to find number of integer solutions for x and y for given values of a and b . is it related to number of divisors , i read it from a post bit didn't get it . Anybody can explain with example .
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You have this tagged as diophantine equations. Are you restricting $x$ and $y$ to be integers? If so, each parenthetical has to equal 1. – tabstop Feb 15 '14 at 18:01
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@tabstop yes integer solution – user85857 Feb 15 '14 at 18:02
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The product $(a-x)(b-y)$ is $1$ iff $a-x=b-y=\pm1$, so you get two solutions.
Hagen von Eitzen
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