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      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 โ€˜nโ€™ years. Thus, the present age of Mike = โ€˜4nโ€™ years. Let the present age of Owen be โ€˜n + 6โ€™ years. ATQ, (4n + 3) = 3 ร— (n + 6 + 3), Or, 4n + 3 = 3n + 27, Or, 4n โ€“ 3n = 27 - 3, Or, n = 24 Therefore, 4n = 96. Therefore, the current age of Jerry = 96 years

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