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    Question

    12 years ago, A was 1/2 of B’s age. If the ratio

    of their present ages is 4:5, what will be the sum of their present ages?
    A 32 years Correct Answer Incorrect Answer
    B 36 years Correct Answer Incorrect Answer
    C 38 years Correct Answer Incorrect Answer
    D 40 years Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the present age of A and B be 4x and 5x respectively. According to question, => 2(4x – 12) = (5x – 12) => 8x – 24 = 5x – 12 => 3x = 12 => x = 4 Present age of A = 4x = 16 yrs And present age of B = 5x = 20 yrs The sum of their present ages = 16 + 20 = 36 years

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