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 9 of 13.
Chiru said:
7 years ago
Thank you @Rahul.
Viswanath gouda said:
7 years ago
26+29+9(x-1) = 11x,
X=23.
X=23.
(1)
Darshan said:
7 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.
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.
Adhithya raj paul said:
6 years ago
How come 55?
Basit said:
6 years ago
Nice explanation, Thanks @Rohan.
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