Question 98
Let $X$, $Y$, and $Z$ be points on the sides $BC$, $AC$, and $AB$ of $\triangle ABC$, respectively, such that $AX$, $BY$, and $CZ$ are concurrent at point $O$. The area of $\triangle BOC$ is $a$. If $BX : XC = 2 : 3$ and $CY : YA = 1 : 2$, what is the area of $\triangle AOC$?
