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The captain of a cricket team of 11 players is 25 years oldest and the wicketkeeper is 3 years older than the captain. If the ages of these two are excluded, the average age of the remaining players is 1 year less than the average age of the whole team. The average of the whole team is:
- a)21.5 year
- b)22 year
- c)22.5 year
- d)23 year
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
The captain of a cricket team of 11 players is 25 years oldest and the...
Let's solve the problem step by step:
1. Let's assume the average age of the whole team is 'x' years.
2. The captain is 25 years old.
3. The wicketkeeper is 3 years older than the captain, so the wicketkeeper's age is 25 + 3 = 28 years.
4. Now, we have the ages of two players, so we need to find the ages of the remaining 9 players.
5. According to the given information, the average age of the remaining players is 1 year less than the average age of the whole team.
6. So, the average age of the remaining 9 players is (x - 1) years.
7. The total age of the remaining 9 players is (9 * (x - 1)) years.
8. The total age of all 11 players is the sum of the captain's age, the wicketkeeper's age, and the total age of the remaining 9 players.
9. The total age of all 11 players is 25 + 28 + (9 * (x - 1)) years.
10. The average age of the whole team is the total age of all players divided by 11: (25 + 28 + (9 * (x - 1))) / 11.
11. According to the question, the average age of the remaining players is 1 year less than the average age of the whole team.
12. So, we can write the equation: (25 + 28 + (9 * (x - 1))) / 11 = x - 1.
13. Let's solve this equation to find the value of x.
Expanding the equation:
25 + 28 + 9x - 9 = 11x - 11
25 + 28 - 9 + 11 = 11x - 9x
54 = 2x
x = 54/2
x = 27
So, the average age of the whole team is 27 years.
Therefore, the correct answer is option B) 22 years.
1. Let's assume the average age of the whole team is 'x' years.
2. The captain is 25 years old.
3. The wicketkeeper is 3 years older than the captain, so the wicketkeeper's age is 25 + 3 = 28 years.
4. Now, we have the ages of two players, so we need to find the ages of the remaining 9 players.
5. According to the given information, the average age of the remaining players is 1 year less than the average age of the whole team.
6. So, the average age of the remaining 9 players is (x - 1) years.
7. The total age of the remaining 9 players is (9 * (x - 1)) years.
8. The total age of all 11 players is the sum of the captain's age, the wicketkeeper's age, and the total age of the remaining 9 players.
9. The total age of all 11 players is 25 + 28 + (9 * (x - 1)) years.
10. The average age of the whole team is the total age of all players divided by 11: (25 + 28 + (9 * (x - 1))) / 11.
11. According to the question, the average age of the remaining players is 1 year less than the average age of the whole team.
12. So, we can write the equation: (25 + 28 + (9 * (x - 1))) / 11 = x - 1.
13. Let's solve this equation to find the value of x.
Expanding the equation:
25 + 28 + 9x - 9 = 11x - 11
25 + 28 - 9 + 11 = 11x - 9x
54 = 2x
x = 54/2
x = 27
So, the average age of the whole team is 27 years.
Therefore, the correct answer is option B) 22 years.
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Community Answer
The captain of a cricket team of 11 players is 25 years oldest and the...
Let a1, a2, a3, .....all be the 11 players of the team.
Let a10 represents the captain and a11 represents the wicketkeeper.
Given: Age of captain = 25 yrs., i.e. a10 = 25
And age of wicketkeeper = 25 + 3 = 28 yrs., i.e. a11 = 28
To find:
According to the question,
∴ Average age of whole team = 22 years.
Let a10 represents the captain and a11 represents the wicketkeeper.
Given: Age of captain = 25 yrs., i.e. a10 = 25
And age of wicketkeeper = 25 + 3 = 28 yrs., i.e. a11 = 28
To find:
According to the question,
∴ Average age of whole team = 22 years.
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The captain of a cricket team of 11 players is 25 years oldest and the wicketkeeper is 3 years older than the captain. If the ages of these two are excluded, the average age of the remaining players is 1 year less than the average age of the whole team. The average of the whole team is:a)21.5 yearb)22 yearc)22.5 yeard)23 yearCorrect answer is option 'B'. Can you explain this answer?
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The captain of a cricket team of 11 players is 25 years oldest and the wicketkeeper is 3 years older than the captain. If the ages of these two are excluded, the average age of the remaining players is 1 year less than the average age of the whole team. The average of the whole team is:a)21.5 yearb)22 yearc)22.5 yeard)23 yearCorrect answer is option 'B'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The captain of a cricket team of 11 players is 25 years oldest and the wicketkeeper is 3 years older than the captain. If the ages of these two are excluded, the average age of the remaining players is 1 year less than the average age of the whole team. The average of the whole team is:a)21.5 yearb)22 yearc)22.5 yeard)23 yearCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The captain of a cricket team of 11 players is 25 years oldest and the wicketkeeper is 3 years older than the captain. If the ages of these two are excluded, the average age of the remaining players is 1 year less than the average age of the whole team. The average of the whole team is:a)21.5 yearb)22 yearc)22.5 yeard)23 yearCorrect answer is option 'B'. Can you explain this answer?.
The captain of a cricket team of 11 players is 25 years oldest and the wicketkeeper is 3 years older than the captain. If the ages of these two are excluded, the average age of the remaining players is 1 year less than the average age of the whole team. The average of the whole team is:a)21.5 yearb)22 yearc)22.5 yeard)23 yearCorrect answer is option 'B'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The captain of a cricket team of 11 players is 25 years oldest and the wicketkeeper is 3 years older than the captain. If the ages of these two are excluded, the average age of the remaining players is 1 year less than the average age of the whole team. The average of the whole team is:a)21.5 yearb)22 yearc)22.5 yeard)23 yearCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The captain of a cricket team of 11 players is 25 years oldest and the wicketkeeper is 3 years older than the captain. If the ages of these two are excluded, the average age of the remaining players is 1 year less than the average age of the whole team. The average of the whole team is:a)21.5 yearb)22 yearc)22.5 yeard)23 yearCorrect answer is option 'B'. Can you explain this answer?.
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