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      Question

      The sum of present ages of Ria and Anju is 42 years.

      Today Anju is 3 years older than Shweta. The respective ratio of the present ages of Ria and Shweta is 8 : 5. What was Anjuโ€™s age one years ago?
      A 30 years Correct Answer Incorrect Answer
      B 17 years Correct Answer Incorrect Answer
      C 20 years Correct Answer Incorrect Answer
      D 27 years Correct Answer Incorrect Answer
      E 18 years Correct Answer Incorrect Answer

      Solution

      Let the present ages of Ria and Shweta be 8x years and 5x years respectively. Anju is 3 years older than Shweta. So, present age of Anju = 5x + 3 years According to the question, 8x + (5x + 3) = 42 Or, 13x + 3 = 42 Or, 13x = 39 Or, x = 3 So, present age of Anju = 5x + 3 = (5 ร— 3) + 3 = 18 years Therefore, Anjuโ€™s age one year ago = 18 - 1 = 17 years

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