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      Question

      Ratio of present age of 'A' to that of 'B' is 4:7. If

      the age of 'B' three years hence from now will be 31 years, then after how many years, the ratio of the age of 'B' to that of 'A' will become 5:4?
      A 26 Correct Answer Incorrect Answer
      B 28 Correct Answer Incorrect Answer
      C 30 Correct Answer Incorrect Answer
      D 32 Correct Answer Incorrect Answer

      Solution

      Let the present ages of 'A' and 'B' be '4m' and '7m' years respectively.

      So, 7m + 3 = 31

      Or, 7m = 28

      So, 'm' = 4

      Present age of 'A' = 4m = 16 years
      Present age of 'B' = 7m = 28 years

      Let ratio of the ages of 'B' to 'A' becomes 5:4 after 'n' years.

      So, (16 + n) : (28 + n) = 4 : 5

      Or, 5 ├Ч (16 + n) = 4 ├Ч (28 + n)

      Or, 80 + 5n = 112 + 4n

      So, 'n' = 32

      Hence, option D.

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