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 6 of 13.

Ram said:   1 decade ago
Avg of full team x = (9x9+26+3)/11.
Avg of 9 players x9 = x-1.

x = (9(x-1)+29)/11.
11x = 9x-9+29.
2x = 20.
x = 10.

Average age of whole team is 10 years.

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.

Afzal said:   9 years ago
Total ageaof of 11 player ages 26 = 26 * 11 = 286.
Total of 11 player whose age 29 = 29 * 11 = 319 Difference = 33 average 1 less,
33 - 10 = 23.

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

Vishesh said:   1 decade ago
Here the average of 11 members = x.

If two are excluded then average of 9 members is 1 year less than the average of the whole team so = 9(x-1).

Bajarang Choudhari said:   1 decade ago
Let the Avg. Age = X.
=> 11x-(26+29) = 9(x-1).

=> 11x-55 = 9x-9.
=> 11x-9x = 55-9.

=> 2x = 46.
=> x = 46/2 = 23yrs. answer.

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.

Sunny said:   10 years ago
Is any body tell me that why we are reducing 1 from average age of 9 persons (x/9-1) ?

In above equation why we reducing that one?

Rishabh solanki said:   4 years ago
The age of captain is 26 and wc age is more than 3.
So 29,
26 + 29 = 55,
55 - 9(team average is less one ) = 46,
And 46/2 = 23.
(4)

Meenakshi said:   5 years ago
26 is age of captain.

And we are given that wicket keeper is 3 year older than captain so age of wicket keeper is 29 (26+3).


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