Difference between revisions of "2003 AIME II Problems/Problem 1"

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== Problem ==
 
== Problem ==
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The product <math>N</math> of three positive integers is <math>6</math> times their sum, and one of the integers is the sum of the other two. Find the sum of all possible values of <math>N</math>.
  
 
== Solution ==
 
== Solution ==

Revision as of 21:37, 25 February 2007

Problem

The product $N$ of three positive integers is $6$ times their sum, and one of the integers is the sum of the other two. Find the sum of all possible values of $N$.

Solution

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See also