Correct option is C
· The current ratio of the ages of Sudhir and Sanjay is 4:5.
· After 5 years, the ratio of their ages will be 5:6.
Let the present ages of Sudhir and Sanjay be 4x and 5x years respectively.
Formula Used: Ratio after a certain number of years =
Express their ages after 5 years:
· Sudhir's age after 5 years = 4x+5
· Sanjay's age after 5 years = 5x+5
According to the problem, the ratio after 5 years is:
6(4x+5) = 5(5x+5)
24x + 30 = 25x + 25
25x − 24x = 30 −25
x= 5
Sudhir’s age = 4x = 4 × 5 = 20 years