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 5 of 13.
Adhithya raj paul said:
6 years ago
How come 55?
Rohan kumbhar said:
6 years ago
Given,
Captain age= 26.
Wicketkeeper age = 29.
Step 1.
We know that,
Average = sum of all number/total number.
Consider, sum of all number =x.
So, Average =y.
From the formula, the average for the whole team.
X /11 = y
X= 11y --> Equation 1.
Step 2
Average for 9 players.
X - 55 / 9 = y-1. From condition given in problem
55 is the sum of captain and wk.
X is a sum of the whole player.
Y is an average of the whole player.
Step 3.
Put equation 1 in step 2.
We get,
(11 y -55)/ 9 = (y-1).
11y-55=9y-9,
2y=46,
y =23.
Y is average of whole member.
Captain age= 26.
Wicketkeeper age = 29.
Step 1.
We know that,
Average = sum of all number/total number.
Consider, sum of all number =x.
So, Average =y.
From the formula, the average for the whole team.
X /11 = y
X= 11y --> Equation 1.
Step 2
Average for 9 players.
X - 55 / 9 = y-1. From condition given in problem
55 is the sum of captain and wk.
X is a sum of the whole player.
Y is an average of the whole player.
Step 3.
Put equation 1 in step 2.
We get,
(11 y -55)/ 9 = (y-1).
11y-55=9y-9,
2y=46,
y =23.
Y is average of whole member.
Swapan said:
7 years ago
@Pradeep.
How 9(x-1)? Please explain.
How 9(x-1)? Please explain.
Sabitri said:
7 years ago
How come 9 (x-1)? please explain it, I don't understand.
Deepa said:
7 years ago
How came 9(x-1)?
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.
Darshan said:
7 years ago
How it is 9 (x-1)? Please explain.
Viswanath gouda said:
7 years ago
26+29+9(x-1) = 11x,
X=23.
X=23.
(1)
Chiru said:
7 years ago
Thank you @Rahul.
Hasritha said:
7 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.
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