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?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.
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