Question 10
A Mathlon is a competition in which there are $M$ athletic events. Such a competition was held in which only $A$, $B$, and $C$ participated. In each event $p_{1}$ points were awarded for first place, $p_{2}$ for second and $p_{3}$ for third, where $p_{1} \gt p_{2} \gt p_{3} \gt 0$ and $p_{1}, p_{2}, p_{3}$ are integers. The final score for $A$ was $22$, for $B$ was $9$ and for $C$ was also $9$. $B$ won the $100$ metres. What is the value of $M$ and who was second in the high jump?