Question

The average age of three men is 50 years and their ages are in the proportion 3:5:7 respectively. Determine the age of the youngest man in the group ?

• A. 40 years
• B. 25 years
• C. 20 years
• D. 30 years
• E. 35 years

Hint:

When ages are in ratio $a:b:c$ and total is $T$, youngest age $= \frac{\min(a,b,c)}{a+b+c} \times T$. Always use the total (average $\times$ count) directly.

Answer 1

The Correct Option is D

Step 1: Understanding the Concept:
Use average and ratio to find individual ages.

Step 2: Detailed Explanation:
Total age $= 3 \times 50 = 150$ years. Ratio 3:5:7, sum of parts = 15. Youngest $= \frac{3}{15} \times 150 = 30$ years.

Step 3: Final Answer:
The youngest man is 30 years old.