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    Question

    The average age of a group is 40 years. When two members

    having an average age of 58 years leave the group, the average age drops by 3 years. What was the original number of people in the group?
    A 12 Correct Answer Incorrect Answer
    B 10 Correct Answer Incorrect Answer
    C 14 Correct Answer Incorrect Answer
    D 17 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the number of people in the group initially be 'n'.

    (40n - 2 × 58) ÷ (n - 2) = 40 - 3

    Or, 40n - 116 = 37n - 74

    Or, 3n = 42

    Or, n = 14

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