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Welcome to the AoPS Wiki!

The AoPS Wiki project is administered by the Art of Problem Solving for supporting educational content useful to avid math students.

During AMC testing, the AoPS Wiki is in read-only mode. No edits can be made.

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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