The average age of a class of 22 students is 21 years. The average increased by 1 when the teacher’s age also included. What is the age of the teacher?

Question

The average age of a class of 22 students is 21 years. The average increased by 1 when the teacher’s age also included. What is the age of the teacher?

A. 44

B. 48

C. 45

D. 43

Answer: A. 44

Solution:

Total age of students = 22 × 21

Total age of students + age of teacher =23 × 22

Age of the teacher
= 23 × 22 − 22 × 21

= 22 (23 − 21)

= 22 × 2

= 44

Hence, The age of the teacher is 44.

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