Present ratio of father and son is 6 : 1. After 5 years, their ratio becomes 7 : 2. What is the son’s present age?

Introduction / Context:
This is a classic present-to-future ratio transformation. With present ages in a 6 : 1 ratio, we move five years ahead for both and impose a 7 : 2 ratio. Solving yields the son’s current age.

Given Data / Assumptions:

• Now: father : son = 6 : 1 ⇒ F = 6x, S = x.
• After 5 years: (F + 5) : (S + 5) = 7 : 2.
• Find S.

Concept / Approach:
Substitute F and S and solve via cross-multiplication to find x and then S.

Step-by-Step Solution:

Verification / Alternative check:

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Final Answer:
5 years