Shyam's present age is three times that of Ramesh. After 12 years, Shyam's age will be double Ramesh's age. What is Shyam's present age?

Introduction / Context:Present and future multiplicative relations give two equations. Solving yields present ages directly.

Given Data / Assumptions:

• Now: S = 3R
• After 12 years: S + 12 = 2(R + 12)

Concept / Approach:Substitute the present relation into the future condition and solve for R, then compute S.

Step-by-Step Solution:

Verification / Alternative check:

Why Other Options Are Wrong:

• 27, 32, 40 do not maintain both relations.
• None of these is unnecessary since 36 fits.

Common Pitfalls:Using S = 2R initially; forgetting that both grow by the same amount (12) in the future relation.

Final Answer:36 years