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    Question

    Present ages of ‘P’ and ‘Q’ are in ratio 1:2. 4

    years ago, the average of the ages of P, Q and R was 26 years. At that time, P was 10 years younger than R. What will be the age of R after 8 years?
    A 45 yrs Correct Answer Incorrect Answer
    B 32 yrs Correct Answer Incorrect Answer
    C 55 yrs Correct Answer Incorrect Answer
    D 38 yrs Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let present ages of P, Q and R be x, 2x, and y respectively.4 years ago: x–4, 2x–4, y–4.

    ATQ,

    (x–4 + 2x–4 + y–4) = 3 × 26

    ⇒ 3x + y – 12 = 78

    ⇒ 3x + y = 90 ---------- (I)

    Also,

    x – 4 = y – 4 – 10

    ⇒ x = y – 10

    ⇒ y – x = 10 ---------- (II)

    Sub (II) in (I):

    3x + (x + 10) = 90

    ⇒ 4x = 80

    ⇒ x = 20

    Then y = 30

    ∴ R’s age after 8 years = 30 + 8 = 38 years

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