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    The average age of 28 students of a class is 40 years. If the age of the teacher is also included, the average age of the whole group becomes 41 years
    Question

    The average age of 28 students of a class is 40 years. If the age of the teacher is also included, the average age of the whole group becomes 41 years. The age (in years) of the teacher is:

    A.

    74

    B.

    67

    C.

    70

    D.

    69

    Correct option is D

    Given:
    Number of students = 28
    Average age of students = 40 years
    Average age including teacher = 41 years
    Total persons including teacher = 29
    Formula Used:
    Total Age = Average × Number of persons
    Solution:
    Total age of 28 students = 28 × 40 = 1120 years
    Total age of students and teacher = 29 × 41 = 1189 years
    Age of the teacher = 1189 − 1120 = 69 years

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