Art of Problem Solving

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The AoPS Wiki project is administered by the [[Art_of_Problem_Solving|<span style="color:#83a1d6;">Art of Problem Solving</span>]] for supporting educational content useful to avid math students.  
The AoPS Wiki project is administered by the [[Art_of_Problem_Solving|<span style="color:#83a1d6;">Art of Problem Solving</span>]] for supporting educational content useful to avid math students.  
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Revision as of 17:00, 14 March 2019

Problem of the Week

2012 AMC 12A, Problem 21

Let $a$, $b$, and $c$ be positive integers with $a\ge$ $b\ge$ $c$ such that $a^2-b^2-c^2+ab=2011$ and $a^2+3b^2+3c^2-3ab-2ac-2bc=-1997$. What is $a$?

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