1995 AIME Problems/Problem 8

Problem

For how many ordered pairs of positive integers $\displaystyle (x,y),$ with $\displaystyle y<x\le 100,$ are both $\displaystyle \frac xy$ and $\displaystyle \frac{x+1}{y+1}$ integers?

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1995 AIME Problems/Problem 8

Problem

Solution

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