Art of Problem Solving

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Revision as of 21:34, 16 November 2018

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 $a$?

New to the AoPS Wiki?

If you don't know much about how to edit a wiki, you might want to read the tutorial and the help files. You can also read what AoPSWiki is not. Lastly, please read the policies of the AoPSWiki before editing, and why AoPSWiki is different from other online resources.

AoPSWiki runs on the MediaWiki software.