Father–son ages with average and multiple relation: The sum of the ages of a father and his son equals 4 times the son’s age. If their average age is 28 years, what is the son’s current age?

Introduction / Context:This age problem provides two linked pieces of information: a multiple relationship and an average. Together they determine the son’s age uniquely.

Given Data / Assumptions:

• Father + Son = 4 * Son → Father = 3 * Son
• Average age = 28 → (Father + Son)/2 = 28

Concept / Approach:Use the average to get the total, then apply the multiple relation to solve for the son’s age directly.

Step-by-Step Solution:Total = 2 * 28 = 56But Total = Father + Son = 4 * SonSo, 4 * Son = 56 → Son = 14 years

Verification / Alternative check:Father = 42; average = (42 + 14)/2 = 28; sum 56 equals 4 times the son’s age, consistent.

Why Other Options Are Wrong:16 and 12 do not satisfy both the multiple and average conditions; “Data inadequate” is false because the two conditions are sufficient.

Common Pitfalls:Interpreting “sum is 4 times the son’s age” incorrectly as the father being 4 times the son’s age—watch the exact wording.

Final Answer:14 years