Question 24
Petryk solved 33 problems at the exam. For the smaller part of them, including the first problem, he got $a$ points, while for the rest of them he got $b$ points. It is known that the natural numbers $a$ and $b$ satisfy the condition $1 \le b \lt a \le 10$. After the exam, Petryk calculated the average score over all problems, and it turned out to be an integer. For how many problems did Petryk get $a$ points?