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.
Answer & explanation
Correct answer: option 3
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