Question:medium
The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. Find the average age of the team.
The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. Find the average age of the team.
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For average problems, convert statements to total sums (average $\times$ count) and set up a simple linear equation.
Updated On: Jul 16, 2026
- 23 years
- 26 years
- 50 years
None of these
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The Correct Option is A
Solution and Explanation
Step 1: Captain + keeper age \(=26+29=55\); let team average \(=A\).
Step 2: Removing them drops the remaining \(9\) players' average by \(1\), so \[ 55-2A=9\times1 \]
Step 3: Solve: \[ 2A=46\;\Rightarrow\;A=\boxed{23\text{ years}} \]
Step 2: Removing them drops the remaining \(9\) players' average by \(1\), so \[ 55-2A=9\times1 \]
Step 3: Solve: \[ 2A=46\;\Rightarrow\;A=\boxed{23\text{ years}} \]
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