At present, Kavita is twice Sarita’s age. Eight years from now, their ages will be in the ratio 22 : 13. What is Kavita’s present age?

Introduction / Context:Use a present doubling condition alongside a future ratio to form and solve a single linear equation in Sarita’s present age, then double to get Kavita’s age.

Given Data / Assumptions:

• Kavita = 2S, Sarita = S (present ages)
• (2S + 8) : (S + 8) = 22 : 13

Concept / Approach:Cross-multiply and isolate S, then compute 2S.

Step-by-Step Solution:

Verification / Alternative check:In 8 years: Kavita 44, Sarita 26 ⇒ 44 : 26 = 22 : 13, correct.

Why Other Options Are Wrong:26, 18, 42 do not satisfy both the present doubling and the future ratio simultaneously.

Common Pitfalls:Placing the 2 multiplier on the wrong person or forgetting to add 8 to both in the future ratio.

Final Answer:36 yr.