Question 24
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 $a?$
a^2-b^2-c^2+ab=2011
$$ and $$
a^2+3b^2+3c^2-3ab-2ac-2bc
$$$$
=-1997.
$$ What is $a?$