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2012 AMC 10A Problems/Problem 24

Revision as of 19:17, 8 February 2012 by Mcq (talk | contribs) (Created page with "== Problem 24 == Let <math>a</math>, <math>b</math>, and <math>c</math> be positive integers with <math>a\geb\gec</math> such that [\a^2-b^2-c^2+ab=2011]\ and [\a^2+3b^2+3c^2-3a...")
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Problem 24

Let $a$, $b$, and $c$ be positive integers with $a\geb\gec$ (Error compiling LaTeX. Unknown error_msg) such that [\a^2-b^2-c^2+ab=2011]\ and [\a^2+3b^2+3c^2-3ab-2ac-2bc=-1997]\.

$\textbf{(A)}\ 249\qquad\textbf{(B)}\ 250\qquad\textbf{(C)}\ 251\qquad\textbf{(D)}\ 252\qquad\textbf{(E)}\ 253$

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