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      Question

      10 years ago, the age of ‘P’ was 50% more than the

      age of ‘Q’. If the sum of their present ages is 75 years, find the present age of ‘P’.
      A 18 yrs Correct Answer Incorrect Answer
      B 28 yrs Correct Answer Incorrect Answer
      C 10 yrs Correct Answer Incorrect Answer
      D 43 yrs Correct Answer Incorrect Answer

      Solution

      Let the present ages of ‘P’ and ‘Q’ be (x + 10) years and (y + 10) years, respectively. ATQ; x = 1.5 × y = 1.5y ………………. (1) Also, x + y = 55 ……………. (2) Putting x = 1.5y from equation (1), we have 1.5y + y = 55 Or, 2.5y = 55 So, y = 22 So, x = 55 – 22 = 33 Therefore, present age of ‘P’ = 33 + 10 = 43 years

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