Question

The average age of 12 men is increased by 6 years when three of them, whose ages are 36, 40 and 44 years, are replaced by 3 persons. What is the average age of the 3 persons?

• A. 58 years
• B. 64 years
• C. 67 years
• D. 50 years

Answer 1

Answer:

B. 64 years

Number of men = 12

Increase in total age

Average increases by 6 ⇒ total increase =
$12 \times 6 = 72$
Sum of removed ages

36 + 40 + 44 = 120
Let sum of new 3 persons = (x)

New total = Old total − 120 + (x)

Increase in total =
x - 120 = 72
x = 192
Average of 3 persons

$\frac{192}{3} = 64$
Final Answer:

64 years