Four years ago the ratio be tween the ages of Taani and Ananya was 4 : 5 respectively. The ratio between their present ages is 14 :17 respectively. What will he Ananya’s age 5 years hence?

In such question , always assume present ages.

Let say the present age of Taani is T and Present age of Ananya is A

It is given that $$\frac{T}{A}$$ = $$\frac{14}{17}$$

17 T = 14 A (let this be equation 1)

4 years ago, Taani's age was = T-4 & Anaya's age was = A-4

Given that ,

$$\frac{T-4}{A-4}$$ = $$\frac{4}{5}$$

5T-4A =4 (let this be equation 2)

Solving equation 1 and 2

A = 34 years

so age after 5 years of Ananya will be 39 years and hence option E