Two years ago, the ratio of the respective ages of Subash and Pranav was 4 : 5. Three years hence, this ratio will become 5 : 6. The present age of Pranav is:

Correct option is D

Given:

Two years ago, the ratio of the ages of Subash and Pranav was 4 : 5

Three years hence, the ratio of their ages will be 5 : 6 

Solution:  

Now, From the condition;

$$\frac{(4x + 5)}{(5x + 5)} = \frac{5}{6}$$  

6 (4x + 5) = 5 (5x + 5)

24x + 30 = 25x + 25

25x − 24x = 30 − 25

x = 5 

then, Present age of Pranav;

(5x + 2) = 5(5) + 2 = 25+ 2 = 27years

​