Question

The average age of 54 students of a class is 37 years. If the age of the teacher is also included, the average age of the whole group becomes 38 years. The age (in years) of the teacher is:

• A. 92
• B. 95
• C. 97
• D. 90

Answer 1

Answer:

A. 92

Average age of 54 students = 37 years

Total age of 54 students
$= (54 \times 37 = 1998)$

Including the teacher, total people = 55
New average = 38 years

Total age of 55 people
$= (55 \times 38 = 2090)$

Age of the teacher
= (2090 - 1998 = 92)

The teacher’s age is 92 years