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    Question

    The average of the current ages of Ram and his father is

    44 years. In six years, Ram's age will be half of his father's age four years ago. What is the difference between the present ages of Ram and his father?
    A 35 years Correct Answer Incorrect Answer
    B 24 years Correct Answer Incorrect Answer
    C 40 years Correct Answer Incorrect Answer
    D 45 years Correct Answer Incorrect Answer

    Solution

    Sum of present ages of Ram and his father = 44 X 2 = 88 years Let the present age of Ram = 'x' years Then, present age of his father = (88 - x) years According to the question, (x + 6) = (88 - x - 4) ÷ 2 Or, (x + 6) X 2 = (84 - x) So, 2x + 12 = 84 - x So, x = (84 - 12) ÷ 3 = 24 So, present age of Ram's father = 88 - 24 = 64 years Therefore, difference between their ages = 64 - 24 = 40 years

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