Ages — present ratio then future double condition: At present Palash is three times Arnav. After 7 years Palash will be twice Arnav. After another 14 years from that point, what multiple of Arnav’s age will Palash’s age be?

Introduction / Context:
We are given a present multiple and a future “twice” relation after 7 years, then asked about a further 14-year shift. Solve current ages first, then project forward.

Given Data / Assumptions:

• P = 3A now.
• P + 7 = 2(A + 7).
• Question asks for the ratio P : A after an additional 14 years from that future point (i.e., 21 years from now).

Concept / Approach:
Find A and P now, then add 21 years to each and compute the ratio.

Step-by-Step Solution:

Verification / Alternative check:

Why Other Options Are Wrong:

• 1, 3, 2 do not match the computed projection.

Common Pitfalls:

• Projecting only 14 years from now instead of 21 years total.

Final Answer:
1.5