Ages — average and ratio combined (man and son): The average of a man and his son is 27 years (sum 54). Their present age ratio is 8:1. What will be the son’s age after 6 years?

Introduction / Context:Known average and ratio uniquely determine both present ages. Then simply add 6 to the son’s present age.

Given Data / Assumptions:

• Average = 27 ⇒ total = 54.
• Man:son = 8:1 ⇒ total parts = 9.

Concept / Approach:Each part = 54 / 9 = 6 ⇒ son = 1 part = 6 years now. After 6 years ⇒ 12.

Step-by-Step Solution:

Verification / Alternative check:

Why Other Options Are Wrong:

• 6, 14, 8 are not equal to the required “after 6 years” result.

Common Pitfalls:

• Reporting the present age instead of the age after 6 years.

Final Answer:12 yr