The average age of 36 students in a class is 14 years. When their teacher's age is included to it, the average increases by one. What is the teacher's age in years?

Q. The average age of a class of 50 students increases by 1 year if the age of the teacher is included. If the age of the teacher is 61 years, what is the average age of the class excluding the teacher?

Q. The average age of $29$ boys of a class is equal to $14$ years. When the age of the class teacher is included the average becomes $15$ years. Find the age of the class teacher.

Q.

The average age of a class of 50 students is 12 years. The average age including the teacher becomes 13 years. The age of teacher is years.

Q. What is the average age of children in the class?
I. The age of the teacher is as many years as the number of children.
II. Average age is increased by $1$ years if the teacher's age is also included.

Q.

There are 30 students in a class whose average age is 20 years. The average age of the boys in the class is 3 less than the average age of the girls in it. If the age of their class teacher, which is between 49 years and 54 years is included with boys, the average age of the boys equals to that of the girls. If the average age of boys as well as the average age of girls are integers, then how many boys are there in the class?