Difference between revisions of "1995 AIME Problems/Problem 8"

 
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== Problem ==
 
== Problem ==
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For how many ordered pairs of positive integers <math>\displaystyle (x,y),</math> with <math>\displaystyle y<x\le 100,</math> are both <math>\displaystyle \frac xy</math> and <math>\displaystyle \frac{x+1}{y+1}</math> integers?
  
 
== Solution ==
 
== Solution ==
  
 
== See also ==
 
== See also ==
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* [[1995_AIME_Problems/Problem_7|Previous Problem]]
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* [[1995_AIME_Problems/Problem_9|Next Problem]]
 
* [[1995 AIME Problems]]
 
* [[1995 AIME Problems]]

Revision as of 01:18, 22 January 2007

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?

Solution

See also