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      Question

      The ratio of age of Rahul 7 years ago to the age of Neha

      7 years hence is 3:4. If the average of their present ages is 35 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 12 yrs Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ Let the present age of Rahul and Neha be ‘r’ years and ‘n’ years, respectively. So, (r – 7) / (n + 7) = 3 / 4 Or, 4r – 28 = 3n + 21 Or, 4r – 3n = 49 ------------------ (1) Also, r + n = 2 × 35 = 70--------------- (2) Equation (2) × 3 + Equation (1), we get 7r = 259 Or, r = 37 So, n = 70 – 37 = 33 Required difference = 37 – 33 = 4 years

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