📢 Too many exams? Don’t know which one suits you best? Book Your Free Expert 👉 call Now!

  • google app store apple app store
  • ✖

      Question

      Ratio of present age of 'A' to that of 'B' is 3:5. If

      the age of 'A' four years ago was 11 years, then after how many years, the ratio of the age of 'B' to that of 'A' will become 5:4?
      A 20 Correct Answer Incorrect Answer
      B 22 Correct Answer Incorrect Answer
      C 24 Correct Answer Incorrect Answer
      D 25 Correct Answer Incorrect Answer
      E 28 Correct Answer Incorrect Answer

      Solution

      Let the present ages of 'A' and 'B' be '3m' and '5m' years respectively.

      So, 3m − 4 = 11

      Or, 3m = 15

      So, 'm' = 5

      Present age of 'A' = 3m = 15 years
      Present age of 'B' = 5m = 25 years

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

      So, (15 + n) : (25 + n) = 4 : 5

      Or, 5 × (15 + n) = 4 × (25 + n)

      Or, 75 + 5n = 100 + 4n

      So, 'n' = 25

      Hence, option D.

      Practice Next
      ask-question