Question

In a cricket team, the average age of 11 players and the coach is 18 years. If the age of the coach is not considered, then the average decreases by 1 year. Find the age of the coach?
1. 39 years
2. 27 years
3. 29 years
4. 21 years

Answer 1

Correct Answer - Option 3 : 29 years

Given:

Average age of 11 players and a coach = 18 years

Average age of 11 players = 17 years

Formula used:

Sum of age = Average age × Number of players

Calculation:

Number of persons including 11 players and a coach = 12

Total age of 11 players and a coach = 18 × 12

⇒ 216 years

Total age of 11 players = 17 × 11

⇒ 187 years

Age of coach = (216 – 187) years

⇒ 29 years

∴ The age of coach is 29 years