Difference between revisions of "Mock AIME 2 2006-2007 Problems/Problem 1"
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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 [[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. | ||
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+ | ==Solution== | ||
+ | {{solution}} | ||
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+ | ---- | ||
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+ | *[[Mock AIME 2 2006-2007/Problem 2 | Next Problem]] | ||
+ | |||
+ | *[[Mock AIME 2 2006-2007]] |
Revision as of 19:45, 22 August 2006
Problem
A positive integer is called a dragon if it can be partitioned into four positive integers and
such that
Find the smallest dragon.
Solution
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