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?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e 64 years.
If the average age of 12 men increases by 6 years,
The total increase in the sum of ages = 12 × 6 = 72 years
Sum of the 3 old men's ages = 36 + 40 + 44 = 120
Let the sum of the ages of the 3 new men = x
⇒ x − 120 = 72 ⇒ x = 192
Average age = 192/3 = 64