Question

    The current age of Mike is four that of Nancy. 3 years

    from now, Mike's age will be two times the age of Owen at that time. If Nancy is 6 years younger than Owen, determine the current age of Mike.
    A 33 years Correct Answer Incorrect Answer
    B 72 years Correct Answer Incorrect Answer
    C 96 years Correct Answer Incorrect Answer
    D 35 years Correct Answer Incorrect Answer
    E 48 years Correct Answer Incorrect Answer

    Solution

    Let the present age of Nancy be ‘n’ years. Thus, the present age of Mike = ‘4n’ years. Let the present age of Owen be ‘n + 6’ years. ATQ, (4n + 3) = 3 × (n + 6 + 3), Or, 4n + 3 = 3n + 27, Or, 4n – 3n = 27 - 3, Or, n = 24 Therefore, 4n = 96. Therefore, the current age of Jerry = 96 years

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