Problems on Ages — “Surabhi : Neerja = 6 : 7 at present. After 6 years the ratio becomes 15 : 17. Find Neerja’s present age.”

Introduction / Context:When a present-time ratio and a future ratio are given, express present ages using a common multiplier, then apply the future condition to determine that multiplier.

Given Data / Assumptions:

• Now: Surabhi : Neerja = 6 : 7 ⇒ S = 6x, N = 7x.
• After 6 years: (S + 6) : (N + 6) = 15 : 17.

Concept / Approach:Set up a proportion with the unknown x and solve by cross-multiplication. Integers are expected for typical age problems.

Step-by-Step Solution:

Verification / Alternative check:Now (24, 28) → after 6 years (30, 34) = 15:17 ✓.

Why Other Options Are Wrong:24/26/30/32 years break the 15:17 future ratio when paired with S = 6x.

Common Pitfalls:Using the same multiplier for future ages instead of adding years; or incorrectly simplifying the ratio before substitution.

Final Answer:28 years