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      Question

      3 years ago from now, Pooja said to Rani, my age is

      three times your age. 7 years hence from now, Rani said to Pooja, my age is 50% less than yours. Find the present age of Rani.
      A 13years Correct Answer Incorrect Answer
      B 12 years Correct Answer Incorrect Answer
      C 14 years Correct Answer Incorrect Answer
      D 16 years Correct Answer Incorrect Answer
      E 18 years Correct Answer Incorrect Answer

      Solution

      3 years ago from now, Let the age of Rani be x years Therefore, age of Pooja = 3x years 7 years hence from now, Age of Pooja = (3x + 3 + 7) = (3x + 10) years Age of Rani = (x + 3 + 7) = (x + 10) years According to the question, 0.5 × (3x + 10) = x + 10 Or, 1.5x + 5 = x + 10 Or, 0.5x = 5 Or, x = 10 Therefore, present age of Rani = x + 3 = 13 years

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