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    The average age of 40 students of a class is 15 years. If the age of the teacher is also included, the average age of the whole group becomes 16 years
    Question

    The average age of 40 students of a class is 15 years. If the age of the teacher is also included, the average age of the whole group becomes 16 years. The age (in years) of the teacher is: 

    A.

    52

    B.

    54

    C.

    50

    D.

    56

    Correct option is D

    Given:

    Average age of 40 students = 15 years.

    Average age of 40 students and 1 teacher = 16 years. 

    Formula Used: 

    Total sum = Average ×\times Number of terms

    Solution: 

    Total age of 40 students ;

    = 15 ×\times 40 = 600 years

    Total age of 40 students and 1 teacher ;

    = 41 ×\times 16 =  656 years

    Then,

    Teacher's age = 656 - 600 = 56 years

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