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      Question

      The current age ratio of 'P' and 'Q' is 4:7 respectively.

      The ratio of the age of 'P' six years from now and the age of 'Q' six years ago is 5:6 respectively. What will be the age of 'P' three years later?
      A 12 yrs Correct Answer Incorrect Answer
      B 27 yrs Correct Answer Incorrect Answer
      C 18 yrs Correct Answer Incorrect Answer
      D 22 yrs Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the present age of 'P' and 'Q' be 4y and 7y years respectively.

      So, (4y + 6) : (7y - 6) = 5 : 6

      Or, 6 × (4y + 6) = 5 × (7y - 6)

      Or, 24y + 36 = 35y - 30

      Or, 11y = 66

      So, y = 6

      Therefore, required age = 4 × 6 + 3 = 27 years

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