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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 out the average age of the team.
  • a)
    23 years
  • b)
    20 years
  • c)
    24 years
  • d)
    21 years
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The captain of a cricket team of 11 members is 26 years old and the wi...
Number of members in the team = 11
Let the average age of of the team = x
=> Sum of the ages of all the 11 members of the team / 11 = x
=> Sum of the ages of all the 11 members of the team = 11 x
Age of the captain = 26
Age of the wicket keeper = 26 + 3 = 29
Sum of the ages of 9 members of the team excluding captain and wicket keeper 
= 11x − 26 − 29 =11x − 55
Average age of 9 members of the team excluding captain and wicket keeper
= 11x−55 / 9
Given that
11x−55 / 9 =(x−1)
⇒11x−55=9(x−1)
⇒11x−55=9x−9
⇒2x=46
⇒x = 46/2 = 23 years
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Most Upvoted Answer
The captain of a cricket team of 11 members is 26 years old and the wi...
Here in the last line i.e. to find average age it is not clear that team is of 9 or 11.
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Community Answer
The captain of a cricket team of 11 members is 26 years old and the wi...
Age of captain = 26 years
Age of wicket keeper = 29 years
Sum = 29+26 =55years
Average decreases by 1 year only.
so, actual age in total decreased by ~ remaining players (9)×1 = 9 years.
So, Average age of remaining players
= (55 - 9)/2 = 46/2 = 23 years.
Average age of total players
= 23+ 9/10 = 23.9 years.
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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 out the average age of the team. a)23 yearsb)20 yearsc)24 yearsd)21 yearsCorrect answer is option 'A'. Can you explain this answer?
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