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      Question

      The age ratio of Kiran and Meena 3 years ago was 3:4. In 9

      years from now, the ratio of their ages will be 5:6. What is the present age of Meena?
      A 42 yrs Correct Answer Incorrect Answer
      B 27 yrs Correct Answer Incorrect Answer
      C 20 yrs Correct Answer Incorrect Answer
      D 45 yrs Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the ages of Kiran and Meena 3 years ago be '3x' and '4x' respectively.

      So, Kiran’s age after 9 years = 3x + 3 + 9 = (3x + 12) years

      And Meena’s age after 9 years = 4x + 3 + 9 = (4x + 12) years

      ATQ,

      (3x + 12)/(4x + 12) = 5/6

      ⇒ 6(3x + 12) = 5(4x + 12)

      ⇒ 18x + 72 = 20x + 60

      ⇒ 12 = 2x

      ⇒ x = 6

      So, present age of Meena = 4 × 6 + 3 = 27 years

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