The present ages of Vikas and Sujit are in the ratio of 5 : 4 respectively. Three years hence, the ratio of their ages will become 11 : 9 respectively. What is Sujit's present age in years?

Options

A. 24 yr
B. 27 yr
C. 40 yr
D. Data inadequate

Answer

A

Explanation

Let the present ages of Anupam and Raju be 5x yr and 4x yr, respectively.
After 3 yr age of Anupam `= (5x + 3) yr `
After 3 yr, age of Raju `= (4x + 3) yr `
According to the question,
`(5x + 3)/(4x + 3) = 11/9`
`implies 45x + 27 = 44 x + 33`
`therefore x = 33 - 27 = 6`
So, present age of Raju = `4 xx 6 = 24 yr`