Aptitude - Average - Discussion
Discussion Forum : Average - General Questions (Q.No. 6)
6.
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. What is the average age of the team?
Answer: Option
Explanation:
Let the average age of the whole team by x years.
11x - (26 + 29) = 9(x -1)
11x - 9x = 46
2x = 46
x = 23.
So, average age of the team is 23 years.
Discussion:
129 comments Page 12 of 13.
M.V.KRISHNA/PALVONCHA said:
1 decade ago
@palak
given age of captain is 26yrs.
wicket keeper is 3yrs older than captain.
so we get age of wicket keeper as 26+3=29 yrs.
hope u understood.
given age of captain is 26yrs.
wicket keeper is 3yrs older than captain.
so we get age of wicket keeper as 26+3=29 yrs.
hope u understood.
Palak said:
1 decade ago
Can you explain how 29 comes?
Sushmita said:
1 decade ago
Thanks abhishek.
M.V.KRISHNA/PALVONCHA said:
1 decade ago
Excellent varun.
Mini said:
1 decade ago
Good work varun.
AbhisShek said:
1 decade ago
Let the sum of age of 7 player(excluding captain and keeper)= x
average age of the whole team = (x+26+(26+3))/11 ----eq(1)
average age of a team without captain and keeper = x/9 -----eq(2)
according to the question,
x/9 = (x+26+29)/11 - 1
11x+99=9x+495
x=198
putting the value of x in eq(1) we get,
average age of the whole team = 23years
average age of the whole team = (x+26+(26+3))/11 ----eq(1)
average age of a team without captain and keeper = x/9 -----eq(2)
according to the question,
x/9 = (x+26+29)/11 - 1
11x+99=9x+495
x=198
putting the value of x in eq(1) we get,
average age of the whole team = 23years
Vasu said:
1 decade ago
One year less than average then why are you using 9x+1? you can use 9x-1 na ?
Priya said:
1 decade ago
Thanks panddu that was really easy to understand for me.
PANDDU said:
1 decade ago
11 MEMBERS TEAM PLAYERS AGE OF 26 YEAR OK
1 (ONE) MEMBER IS WICKET KEEPER 3YEARS OLDER THEN REAMING PLAYERS
11-1=10 1 IS WICKET KEEPER
26-3=23
1 (ONE) MEMBER IS WICKET KEEPER 3YEARS OLDER THEN REAMING PLAYERS
11-1=10 1 IS WICKET KEEPER
26-3=23
Swathy said:
1 decade ago
@Anand:
11x(whole team average)-(26+29)(captain+wicket keeper)=9(x-1)(average of 9 players)
here the average age of 9 players age is < the whole team by 1. that is 11x-1=9x.
So we are using 9(x-1).
11x(whole team average)-(26+29)(captain+wicket keeper)=9(x-1)(average of 9 players)
here the average age of 9 players age is < the whole team by 1. that is 11x-1=9x.
So we are using 9(x-1).
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