Problems on Ages — “Namrata : Divya = 4 : 3 and their sum is 28 years. What will be the ratio of their ages after 4 years?”

Introduction / Context:
Given a present-time ratio and total, we can compute individual ages. Then add the same future increment to each and simplify the new ratio.

Given Data / Assumptions:

• Now: N : D = 4 : 3; N + D = 28.
• Future: add 4 years to each age.

Concept / Approach:
Let ages be 4k and 3k. Using the sum, find k. Then compute (4k + 4):(3k + 4) and reduce if needed.

Step-by-Step Solution:

Verification / Alternative check:
Dividing both terms by 4 gives 5 : 4; consistent.

Why Other Options Are Wrong:
Other ratios do not reflect the correct incremented pair (20, 16).

Common Pitfalls:
Applying the 4-year increment to only one person or rescaling the ratio incorrectly before adding years.

Final Answer:
5 : 4