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The average age of 35 students of a class is 15 years. When we teacher's age is also included. their the average age increases by one year. Find the a
Question

The average age of 35 students of a class is 15 years. When we teacher's age is also included. their the average age increases by one year. Find the age of the teacher.

A.

45 years

B.

51 years

C.

41 years

D.

35 years

Correct option is B

Given:

The average age of 35 students is 15 years.

When the teacher's age is included, the average age increases by 1 year.

Solution:

Total age of 35 students = Average age × Number of students

Total age of 35 students = 15×35=525 years

New average age when the teacher is included:

New average age=16 years

Now, 

Total age of 36 individuals = New average age × Number of individuals

Total age of 36 individuals=16×36=576 years

 The teacher's age:

​Teacher’s age=Total age of 36 individuals−Total age of 35 students

Teacher’s age=576−525=51 years

The age of the teacher is 51 years.​

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