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The average age of 8 men is increased by 2 years when two of them whose age are 21 and 23 years replaced by two new men. The average age of the two new men is
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- 22 years
- 24 years
- 28 years
- 30 years
- 22 years
Correct Option: D
According to question ,
Overall increase in the total age = 8 × 2 = 16 years
∴ Total age of two new men = 21 + 23 + 16 = 60 years
∴ Average age of new men = 60 ÷ 2 = 30 years
Second method to solve this question with the help of given formula :
Here, X = 2, n = 8
Age of new person = Age of replaced person + X
Age of new person = 24 + 2 × 8
Age of new person = 24 + 16 = 40 years