The captain of a cricket team of members is old, and the wicket-keeper is four years older than the captain. If the ages of the captain and the wicket-keeper are excluded, the average age of the remaining players of the team is two years less than the average age of the whole team. What is the average age of the team?
- A24 years
- B22 years
- C23 years
- D21 years
Solution & Step-by-step Explanation
Let the average age of the whole team of players be .
Given parameters:
* Age of the Captain =
* Age of the Wicket-keeper =
* Combined age of Captain and Wicket-keeper =
When these two players are excluded, the remaining number of players is .
The new average age is .
Setting up the total age balance equation:
Thus, the average age of the whole team is .
Given parameters:
* Age of the Captain =
* Age of the Wicket-keeper =
* Combined age of Captain and Wicket-keeper =
When these two players are excluded, the remaining number of players is .
The new average age is .
Setting up the total age balance equation:
Thus, the average age of the whole team is .