Question
Download Solution PDFThe captain of a cricket team of 11 members is 26 years old . The wicket keeper is 3 years older than the captain . 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 . What is the average age of the team ?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The captain's age = 26 years
The wicket keeper's age = 26 + 3 = 29 years
The cricket team has 11 members.
Calculation:
Let the average age of the whole team be A years.
The total age of the team = 11A
The total age of the remaining 9 players = 11A - (26 + 29)
Average age of the remaining 9 players = (11A - 55) / 9
Given that the average age of the remaining players is one year less than the average age of the whole team, we have:
A - 1 = (11A - 55) / 9
⇒ 9(A - 1) = 11A - 55
⇒ 9A - 9 = 11A - 55
⇒ 55 - 9 = 11A - 9A
⇒ 46 = 2A
⇒ A = 23
The average age of the team is 23 years.
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