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      Question

      20 years ago, the age of ‘I’ was 50% more than

      ‘J’. If the sum of their present ages is 90 years, then find the present age of ‘I’.
      A 25 yrs Correct Answer Incorrect Answer
      B 50 yrs Correct Answer Incorrect Answer
      C 61 yrs Correct Answer Incorrect Answer
      D 81 yrs Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the present ages of ‘I’ and ‘J’ be (x + 20) years and (y + 20) years, respectively.

      ATQ;

      x = 1.50 × y = 1.5y ………………. (1)

      Also, x + 20 + y + 20 = 90

      Or, x + y = 50 ……………. (2)

      Putting x = 1.5y from equation (1), we have

      1.5y + y = 50

      Or, 2.5y = 50

      So, y = 50 ÷ 2.5 = 20

      So, x = 50 – 20 = 30

      Therefore, present age of ‘I’ = 30 + 20 = 50 years.

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