Ans: $24$ games
Let $x$ and $y$ be the number of games the champion wins and draws respectively.
Let $x$ and $y$ be the number of games the champion wins and draws respectively.
$\left\{ \begin{array}{ll}
x+y = 36 & \ldots \unicode{x2460} \\
3x+y=84 & \ldots \unicode{x2461}
\end{array} \right.$
$\unicode{x2461} – \unicode{x2460}$, we have
$\begin{array}{rcl}
2x & = & 48 \\
x & = & 24
\end{array}$
$\therefore$ the champion wins $24$ games.
