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 4 of 13.
Murali said:
1 decade ago
Let the average age whole team i.e.
avg = w/11.
w = 11 avg.
If two persons are excluded in the team then the avg is less than 1 of original avg. Therefore,
avg-1 = w-26-29/9.
9avg-9 = 11avg -55 .
2avg = 46.
avg = 23.
Average age of whole team is 23 years.
avg = w/11.
w = 11 avg.
If two persons are excluded in the team then the avg is less than 1 of original avg. Therefore,
avg-1 = w-26-29/9.
9avg-9 = 11avg -55 .
2avg = 46.
avg = 23.
Average age of whole team is 23 years.
Habiba said:
4 years ago
let's, average age = x.
According to the math concept,
Totall team member (11)* average age - (captain +wicket kepper) age= rest of 9 members* (average age -1).
11x-{26+(26+3)} = 9(x-1),
11x-55 = 9x-9,
11x-9x = 55-9,
2x = 46,
x = 23.
According to the math concept,
Totall team member (11)* average age - (captain +wicket kepper) age= rest of 9 members* (average age -1).
11x-{26+(26+3)} = 9(x-1),
11x-55 = 9x-9,
11x-9x = 55-9,
2x = 46,
x = 23.
Mukesh said:
1 decade ago
Let A be average of whole team, so average of 9 members will be (A-1). Now if we take average of Captain, WK and 9 members we should get average of whole team:
So, (26+29+A-1)/3 = A.
Resolving 54+A = 3A.
2A = 54.
A = 27.
So, (26+29+A-1)/3 = A.
Resolving 54+A = 3A.
2A = 54.
A = 27.
Harsh said:
1 decade ago
@Niranjan.
Let x be average of team.
And from question 26 is captain's age and wicket kipper 3 more than captain so it is 29.
And that's why while finding average you may add all the no and divide them by total numbers.
Let x be average of team.
And from question 26 is captain's age and wicket kipper 3 more than captain so it is 29.
And that's why while finding average you may add all the no and divide them by total numbers.
Aarzoo said:
6 years ago
Age of captain = 26.
Age of wicket keeper is = 26+3 = 29.
Total age = 26+29 = 55.
Remaining team = 9.
Remove = total age - remaining team.
= 55-9 = 44.
Leave = captain+wicket keeper = 2.
44/2 = 22.
Age of wicket keeper is = 26+3 = 29.
Total age = 26+29 = 55.
Remaining team = 9.
Remove = total age - remaining team.
= 55-9 = 44.
Leave = captain+wicket keeper = 2.
44/2 = 22.
(1)
Deepal joshi said:
10 years ago
Oral solution: Total 55. As they moved out of group remaining elements have given 1 each, means these two have donated 9 in the group. So these two remained with 46.
Average is 23, so initial average is 23.
Average is 23, so initial average is 23.
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).
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).
Jeeny said:
9 years ago
Try this one.
Let, total age of whole team Y.
Then, Y/11 = X.
Y = 11x, x is the average age of the whole team.
Given, Y - (26 + 29)/9 = x-1.
= 11x-55 = 9x-9,
= 2x = 46 = 23.
Let, total age of whole team Y.
Then, Y/11 = X.
Y = 11x, x is the average age of the whole team.
Given, Y - (26 + 29)/9 = x-1.
= 11x-55 = 9x-9,
= 2x = 46 = 23.
Prashant Patil said:
4 years ago
Let whole team average age= (55+9x)/11 ...eq (1)
Average age of 9 member =9x/9= x,
Difference between average =1.
Lets;
((55+9x)/11)-x = 1,
x=22,
Then put x value into eq (1).
We get average value =23.
Average age of 9 member =9x/9= x,
Difference between average =1.
Lets;
((55+9x)/11)-x = 1,
x=22,
Then put x value into eq (1).
We get average value =23.
(12)
Yaswashree Devi said:
4 years ago
Let Avg. Age Of team = X.
Capt. + wicket keeper's age = 26+( 26+3)= 55.
According to ques;
11x - 55 = 9(x-1),
=>11x - 55 = 9x - 9,
=> 11x - 9x = 55 - 9,
=> 2x = 46.
=> X = 46/2 = 23 yr.
Capt. + wicket keeper's age = 26+( 26+3)= 55.
According to ques;
11x - 55 = 9(x-1),
=>11x - 55 = 9x - 9,
=> 11x - 9x = 55 - 9,
=> 2x = 46.
=> X = 46/2 = 23 yr.
(9)
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