Difference between revisions of "2014 AIME I Problems/Problem 3"

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== Problem 3 ==
 
== Problem 3 ==
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Find the number of rational numbers <math>r,</math> <math>0<r<1,</math> such that when <math>r</math> is written as a fraction in lowest terms, the numerator and the denominator have a sum of 1000.
  
 
== Solution ==
 
== Solution ==

Revision as of 14:11, 14 March 2014

Problem 3

Find the number of rational numbers $r,$ $0<r<1,$ such that when $r$ is written as a fraction in lowest terms, the numerator and the denominator have a sum of 1000.

Solution