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    Question

    The average age of P, Q, R and S is 30 years and the

    average age of P and Q is also 30 years. If S is 8 years older than R, then find the age of R.
    A 26 yrs Correct Answer Incorrect Answer
    B 41 yrs Correct Answer Incorrect Answer
    C 27 yrs Correct Answer Incorrect Answer
    D 33 yrs Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Sum of the ages of P, Q, R and S = 30 × 4 = 120 years

    Sum of the ages of P and Q = 30 × 2 = 60 years

    Sum of the ages of R and S = 120 – 60 = 60 years

    Let the age of R be ‘x’ years

    So, age of S = (x + 8) years

    Then, x + x + 8 = 60

    2x = 52

    x = 26

    So, the age of R is 26 years.

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