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    Question

    The average age of a family of 6 members is 30 years. If

    one of the members aged 16 years leaves the family, by how much will the average age of the remaining members increase?
    A 1.6 year Correct Answer Incorrect Answer
    B 2.8 years Correct Answer Incorrect Answer
    C 3 years Correct Answer Incorrect Answer
    D 3.5 years Correct Answer Incorrect Answer
    E 1.2 years Correct Answer Incorrect Answer

    Solution

    Let the total age of the family be 30 x 6 = 180 years. After the member aged 16 leaves, the new total age is 180 - 16 = 164 years. The average age of the remaining 5 members is 164/5 = 32.8 years. Original average age was 30 years, and now it is 32.8 years, thus the increase is 32.8 - 30 = 2.8 years. 

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