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 4 of 13.

Aditya said:   1 decade ago
Let Avg age of dull team be x
so acc to formula sum/n=avg----equation 1)

we have 26+29+ 9 members of cricket team / 11 = x --- equation 2)

Now Acc to ques: the average age of the remaining players is one year less than the average age of the whole team if those two players are excluded so again putting in eq 1

9 members / 9 = x- 1 ---- equation 3

where x is avg of whole team

get the value of 9 members from equation 2 and place it in eq 3
we will get the ans as 23

Anand said:   1 decade ago
11x - (26 + 29) = 9(x -1) can you explain that how it comes?

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).

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.


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