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?
23 years
24 years
25 years
None of these
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 2 of 13.

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

Priya said:   1 decade ago
Thanks panddu that was really easy to understand for me.

Vasu said:   1 decade ago
One year less than average then why are you using 9x+1? you can use 9x-1 na ?

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

Mini said:   1 decade ago
Good work varun.

M.V.KRISHNA/PALVONCHA said:   1 decade ago
Excellent varun.

Sushmita said:   1 decade ago
Thanks abhishek.

Palak said:   1 decade ago
Can you explain how 29 comes?

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.

Hari said:   1 decade ago
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.


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