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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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