Art of Problem Solving

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

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== Problem ==
== Problem ==
A positive integer is called a dragon if it can be [[partitioned]] into four positive integers <math>\displaystyle a,b,c,</math> and <math>\displaystyle d</math> such that <math>\displaystyle a+4=b-4=4c=d/4.</math> Find the smallest dragon.
A positive integer is called a dragon if it can be [[partition]]ed into four positive integers <math>\displaystyle a,b,c,</math> and <math>\displaystyle d</math> such that <math>\displaystyle a+4=b-4=4c=d/4.</math> Find the smallest dragon.


==Solution==
==Solution==

Revision as of 18:46, 22 August 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.

Solution

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