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

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

A 35 years

B 45 years

C 51 years

D 54 years

Solution

Correct Answer: Option C

Age of the teacher = (37 \(\times\) 15 - 36 \(\times\) 14) years = 51 years.