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      Question

      The ratio of age of Rohit 8 years ago to the age of

      Anjali 8 years hence is 5:9. If the average of their present ages is 36 years, what is the difference between their present ages?
      A 5 yrs Correct Answer Incorrect Answer
      B 4 yrs Correct Answer Incorrect Answer
      C 2 yrs Correct Answer Incorrect Answer
      D 10 yrs Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ Let the present age of Rohit and Anjali be ‘r’ years and ‘a’ years, respectively. So, (r – 8) / (a + 8) = 5 / 9 Or, 9r – 72 = 5a + 40 Or, 9r – 5a = 112 ------------------ (1) Also, r + a = 2 × 36 = 72--------------- (2) Equation (2) × 5 + Equation (1), we get 14r = 472 Or, r = 33.71 (approximately 34) So, a = 72 – 34 = 38 Required difference = 38 – 34 = 4 years

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