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    The mean of the ages of three friends is 22. If the mean of the ages of four friends is 24, then find the age of the fourth friend.
    Question

    The mean of the ages of three friends is 22. If the mean of the ages of four friends is 24, then find the age of the fourth friend.

    A.

    24

    B.

    30

    C.

    31

    D.

    22

    Correct option is B

    Given:

    The mean of the ages of three friends is 22.

    The mean of the ages of four friends is 24.

    Formula Used:

    Mean =Sum of agesNumber of friends \frac{\text{Sum of ages}}{\text{Number of friends}}

    Solution:

    Sum of ages of 3 friends = 22 × 3 = 66

    Sum of ages of 4 friends = 24 × 4 = 96

    Age of the fourth friend = 96 - 66 = 30
    The age of the fourth friend is 30 years.

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