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Question 54
The captain of a cricket team of 11 members is 28 years old and the wicket keeper is 4 years older than him. If the ages of these two are excluded, the average age of the remaining players is two years less than the average age of the whole team. What is the average age of the team?
Solution
Age of the captain=28 years
Age of the wicket keeper=32 years
let the sum of other 9 players =s
Therefore s/9 =((s+28+32)/11)-2
(s/9)=((s+60)/11) -2
s/9 =(s+38)/11
11s=9s+342
2s=342
s=171
Total sum of ages of team=171+60=231
Average=231/11
=21
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