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      Question

      Present age of β€˜D’ is 45% more than that of β€˜E’.

      9 years ago, β€˜D’ was 1.75 times as old as β€˜E’. Find the present age of β€˜E’.
      A 18 years Correct Answer Incorrect Answer
      B 17.5 years Correct Answer Incorrect Answer
      C 21 years Correct Answer Incorrect Answer
      D 22.5 years Correct Answer Incorrect Answer

      Solution

      Let the present age of β€˜E’ be β€˜x’ years
      Therefore, present age of β€˜D’ = 1.45x years
      ATQ;
      (1.45x – 9) = 1.75 Γ— (x – 9)
      Or, 1.45x – 9 = 1.75x – 15.75
      Or, 6.75 = 0.3x
      Or, x = 22.5
      Therefore, present age of β€˜E’ = 22.5 years

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