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:
131 comments Page 11 of 14.
Viji said:
8 years ago
A captain age is 26 years old.
Then wicket keeper is 3 years older than as captain. So (26+3)=29.
Total= avg* no of observation,
x= 11 players average, y= total of 9 players.
At 11players,
y+26+29= x* 11.
y+55= 11x -----------> (1)
At 2 players excluded, so 9 players,
As formula. y= (x-1)* 9 -----------> (2)
(2) substituting by (1):
(x-1)* 9+55= 11x,
9x-9+55= 11x,
2x= 46,
X= 23.
So average of whole team so 23 years old.
Then wicket keeper is 3 years older than as captain. So (26+3)=29.
Total= avg* no of observation,
x= 11 players average, y= total of 9 players.
At 11players,
y+26+29= x* 11.
y+55= 11x -----------> (1)
At 2 players excluded, so 9 players,
As formula. y= (x-1)* 9 -----------> (2)
(2) substituting by (1):
(x-1)* 9+55= 11x,
9x-9+55= 11x,
2x= 46,
X= 23.
So average of whole team so 23 years old.
Philo said:
8 years ago
Can anyone explain using distribution method?
Sowmya said:
8 years ago
why we took 9(x-1) here? Please explain.
Hasritha said:
8 years ago
@Sowmya.
Because rest 9 has 1 year lesser than average of the whole team.
Because rest 9 has 1 year lesser than average of the whole team.
Chiru said:
8 years ago
Thank you @Rahul.
Darshan said:
8 years ago
How it is 9 (x-1)? Please explain.
Vinothini said:
7 years ago
11x-(26+29)=9(x-1),
11x-(55)=9x-9,
11x-9x=55-9,
2x=46,
X=46/2,
X=23years.
11x-(55)=9x-9,
11x-9x=55-9,
2x=46,
X=46/2,
X=23years.
Deepa said:
7 years ago
How came 9(x-1)?
Sabitri said:
7 years ago
How come 9 (x-1)? please explain it, I don't understand.
Swapan said:
7 years ago
@Pradeep.
How 9(x-1)? Please explain.
How 9(x-1)? Please explain.
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