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      Question

      Five years ago, the ratio of age of ‘A’ to ‘B’ was

      4:5. Seven years from now, their age ratio will be 6:7. Find the present age of ‘Z’, who is 3 years older than ‘A’.
      A 48 yrs Correct Answer Incorrect Answer
      B 60 yrs Correct Answer Incorrect Answer
      C 32 yrs Correct Answer Incorrect Answer
      D 82 yrs Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the age of ‘A’ and ‘B’, five years ago be ‘4a’ and ‘5a’ years, respectively.

      So, (4a + 5 + 7):(5a + 5 + 7) = 6:7

      Or, 7 × (4a + 12) = 6 × (5a + 12)

      Or, 28a + 84 = 30a + 72

      Or, 2a = 12

      So, ‘a’ = 6

      Required age = 4 × 6 + 5 + 3 = 32 years

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