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The average age of 31 students of a class is 30 years. If the age of the teacher is also included, the average age of the whole group becomes 31 years
Question

The average age of 31 students of a class is 30 years. If the age of the teacher is also included, the average age of the whole group becomes 31 years. The age (in years) of the teacher is:

A.

62

B.

64

C.

65

D.

63

Correct option is A

Given:
Average age of 31 students = 30 years
New average age after including the teacher = 31 years
Total number of people after including the teacher = 32
Formula Used:
Total Age = Average Age × Number of People
Age of the teacher = New Total Age - Old Total Age
Solution:
Calculate the total age of 31 students:
Old Total Age = 31 × 30 = 930
Calculate the new total age of 32 people:
New Total Age = 32 × 31 = 992
Calculate the age of the teacher:
Teacher's age = 992 - 930
Teacher's age = 62
Final Answer
So the correct answer is (a)

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