Ages — present and future ratios (Maya and Chhaya): Now, Maya:Chhaya = 6:5. Fifteen years from now the ratio becomes 9:8. Find Maya’s present age.

Introduction / Context:Two-person present and future ratios determine a single scale factor for current ages. Solve for that factor to get Maya’s age.

Given Data / Assumptions:

• Present Maya:Chhaya = 6:5 ⇒ Maya = 6x, Chhaya = 5x.
• After 15 years: (6x + 15) : (5x + 15) = 9 : 8.

Concept / Approach:Cross-multiply and solve for x; Maya = 6x.

Step-by-Step Solution:

Verification / Alternative check:

Why Other Options Are Wrong:

• 21, 24, 40 are inconsistent with the solved scale factor.

Common Pitfalls:

• Mixing up the ratio order (numerator vs denominator).

Final Answer:30 yr