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    Question

    The ratio of the age of M after 3 years to the age of N

    after 2 years is 5:4. The sum of the ages of N and O after 6 years is 68 years. The age of O before 4 years was half of what it will be after 16 years. Find the present age of M.
    A 22 yrs Correct Answer Incorrect Answer
    B 47 yrs Correct Answer Incorrect Answer
    C 22 yrs Correct Answer Incorrect Answer
    D 19 yrs Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, O – 4 = 1/2 × (O + 16) 2O – 8 = O + 16 O = 24 Present age of O = 24 years N + 6 + O + 6 = 68 N + 6 + 24 + 6 = 68 N = 68 – 36 = 32 years M + 3 = (5/4) × (32 + 2) M + 3 = (5/4) × 34 M = 42.5 – 3 = 39.5 years

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