The present-age ratio of Vimal and Aruna is 3 : 5, and the sum of their present ages is 80 years. What will be the ratio of their ages after 10 years?

Introduction / Context:Ratios with a given sum allow us to find actual present ages using a multiplier. Future ratios follow by adding the same increment to both ages.

Given Data / Assumptions:

• Vimal : Aruna = 3 : 5
• Vimal + Aruna = 80 years
• Find (Vimal + 10) : (Aruna + 10)

Concept / Approach:Let ages be 3k and 5k. Use 3k + 5k = 80 ⇒ k = 10. Then compute future ages and reduce the ratio.

Step-by-Step Solution:

Verification / Alternative check:Divide both by 20 to reduce 40 : 60 to 2 : 3, consistent.

Why Other Options Are Wrong:1 : 2 and 3 : 2 do not match 40 : 60. 3 : 5 repeats the present ratio, not the future one.

Common Pitfalls:Using 80 as the future sum or adding 10k instead of 10 years to each age.

Final Answer:2 : 3.