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The average age of 12 players of a team is 25 years. If the captain’s age is included, the average age increases by 1 year. The age of the captain is :
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- 25 yrs.
- 38 yrs.
- 36 yrs.
- 26 yrs.
- 25 yrs.
Correct Option: B
The average age of 12 players of a team = 25 years.
Total age of 12 players = 12 × 25 = 300
Total age including captain = 13 × 26 = 338
∴ Age of the captain = 338 – 300 = 38 years
Second method to solve this question with the help of given formula :
Here, X = 1, n = 12
Age of the captain = Average + X (n + 1)
Age of the captain = 25 + 1 (12 + 1) = 38 years
