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    Question

    The present ages of Aman and Rehan are in ratio 3:5. 5

    years ago, the average age of Aman, Rehan and Tarun was 28 years. Aman was 11 years younger than Tarun at that time. Find Tarun's age 7 years hence.
    A 45 yrs Correct Answer Incorrect Answer
    B 32 yrs Correct Answer Incorrect Answer
    C 55 yrs Correct Answer Incorrect Answer
    D 42 yrs Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let present ages = 3x, 5x, y

    5 yrs ago: 3x–5, 5x–5, y–5

    (3x–5 + 5x–5 + y–5) = 84

    ⇒ 8x + y – 15 = 84 ⇒ 8x + y = 99 ...(I)

    Also, 3x = y – 11 ⇒ y – 3x = 11 ...(II)

    (I) – (II): 8x + y – y + 3x = 99 – 11 ⇒ 11x = 88 ⇒ x = 8

    Then y = 3x + 11 = 24 + 11 = 35

    Tarun’s age 7 years hence = 42 years

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