2 years ago ratio of Sita and Prakash age was 5 : 8 respectively. After 4 years this ratio would become 2 : 3. Find the present age (in years) of Sita.

32 years

2 years ago age ratio: ⇒  Sita : Prakash = 5 : 8 = 5R : 8R

4 years after age ratio: ⇒  Sita : Prakash = 2 : 3 = 2R₁ : 3R₁

Now,

\(\frac{5R + 6}{8R + 6}\) = \(\frac{2R_1}{3R_1}\) = \(\frac{2}{3}\)

15R + 18 = 16R + 12

1R = 6

Sita's age 2 years ago = 5R = 5 × 6  = 30 

Sita's present age = 30 + 2 = 32