Question
Download Solution PDFThe captain of a cricket team of 11 members is 29 years 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?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The captain of a cricket team of 11 members is 29 years 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.
Formula used:
Let the average age of the whole team be x years.
Sum of ages of all team members = 11x
Sum of ages of captain and wicket-keeper = 29 + 33 = 62
Average age of remaining 9 members = x - 2
Sum of ages of remaining 9 members = 9(x - 2)
Calculation:
11x - 62 = 9(x - 2)
⇒ 11x - 62 = 9x - 18
⇒ 11x - 9x = 62 - 18
⇒ 2x = 44
⇒ x = 22
∴ The correct answer is option (4).
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