Difference between revisions of "Mock AIME 2 2006-2007 Problems/Problem 1"

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Revision as of 16:18, 24 July 2006

Problem

A positive integer is called a dragon if it can be partitioned into four positive integers $\displaystyle a,b,c,$ and $\displaystyle d$ such that $\displaystyle a+4=b-4=4c=d/4.$ Find the smallest dragon.