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    Question

    The sum of the present ages of a father and his son is

    60 years. Six years ago, father’s age was five times the age of the son. What will be the son’s age after 6 years?
    A 12 years Correct Answer Incorrect Answer
    B 14 years Correct Answer Incorrect Answer
    C 18 years Correct Answer Incorrect Answer
    D 20 years Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let present ages of son and father be x and (60 –x) years respectively.
    Then,
    (60 –x ) – 6 = 5( x - 6 )
    ⇒ 54 – x = 5x - 30
    ⇒ 6x = 84
    ⇒ x = 14 years
    Son’s age after 6 years= ( x + 6 ) = 20 years.

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