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      Question

      Five years back, the age ratio of Meera and Sanya was

      11:13. Five years from now, the ratio becomes 13:15. What is the average of their present ages?
      A 60 yrs Correct Answer Incorrect Answer
      B 50 yrs Correct Answer Incorrect Answer
      C 75 yrs Correct Answer Incorrect Answer
      D 25 yrs Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let present age of Meera and Sanya be P years and Q years respectively.

      According to question,

      (P – 5)/(Q – 5) = 11/13

      3P – 65 = 11Q – 55

      13P – 11Q = 10 ………………….(1)

      And, (P + 5)/(Q + 5) = 13/15

      15P + 75 = 13Q + 65

      13Q – 15P = 10 …………………..(2)

      Solving equation (1) and (2), we get

      P = 55 and Q = 65

      Average present age of Meera and Sanya = (55 + 65)/2 = 120/2 = 60 years

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