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.
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.
=> 11x-(26+29) = 9(x-1).
=> 11x-55 = 9x-9.
=> 11x-9x = 55-9.
=> 2x = 46.
=> x = 46/2 = 23yrs. answer.
Chander said:
1 decade ago
I don't understand the answer please provide me good method for solved it.
Manchala lakshmanarao said:
1 decade ago
Its simple problem to understanding this logic.
Lets consider Avg age of team X say.
Total members= 11*x=11X and their average is 26 years.
But wicketkeeper 3 years older so simple you can write=11X- (26+29).
The avg age remaining players 1 year less so logic is = total number players -remaining number players.
We can write = 9(x-1).
Avg age of whole team= 11x - (26+29) - 9(x-1).
Then solve to simple we get 23yrs.
Lets consider Avg age of team X say.
Total members= 11*x=11X and their average is 26 years.
But wicketkeeper 3 years older so simple you can write=11X- (26+29).
The avg age remaining players 1 year less so logic is = total number players -remaining number players.
We can write = 9(x-1).
Avg age of whole team= 11x - (26+29) - 9(x-1).
Then solve to simple we get 23yrs.
Sree said:
1 decade ago
Let x be the avg age.
So x*9 = age of the remaining 9 player.
9x+26+29/11-1 = 9x/9 .......(1).
81x+396 = 99x.
18x = 396.
x = 22.
We need to substitute x valve in eq (1).
So the value is 23.
So x*9 = age of the remaining 9 player.
9x+26+29/11-1 = 9x/9 .......(1).
81x+396 = 99x.
18x = 396.
x = 22.
We need to substitute x valve in eq (1).
So the value is 23.
Faraz hasan said:
1 decade ago
We can go by option easily.
First option is 23 this is average so total age will be 23*11 i.e. 253 ok.
Now captain age is 26 and wicketkeeper age is 26 total of both is 55 if we deduct 55 from 253 we get (253-55) = 198 this is the age of remaining nine player.
Now divide with 9 because we want average 198/9 i.ee., 22 so you can see average new average is 22 (1 less than 23) so 23 is our answer.
First option is 23 this is average so total age will be 23*11 i.e. 253 ok.
Now captain age is 26 and wicketkeeper age is 26 total of both is 55 if we deduct 55 from 253 we get (253-55) = 198 this is the age of remaining nine player.
Now divide with 9 because we want average 198/9 i.ee., 22 so you can see average new average is 22 (1 less than 23) so 23 is our answer.
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.
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.
Shilohu said:
1 decade ago
As their are 11 members..the average weight = 11 x.
(the average age of the remaining players is one year less than the average age of the whole team).
Remaining players = 9 (as they said exclude captain, keeper).
And their average is less the remaining so it is written as 9(x-1).
Finally,
11 x (total avg weight)-(26+29)(as they asked to exclude) = 9(x-1).
(the average age of the remaining players is one year less than the average age of the whole team).
Remaining players = 9 (as they said exclude captain, keeper).
And their average is less the remaining so it is written as 9(x-1).
Finally,
11 x (total avg weight)-(26+29)(as they asked to exclude) = 9(x-1).
Karthika said:
1 decade ago
Age of captain = 26.
Age of wicketkeeper = 29.
Let the sum of ages of remaining players be x.
Now,
x+26+29/11-x/9 = 1.
x = 198.
The average age of players is 198+26+29/11 = 23 years.
Age of wicketkeeper = 29.
Let the sum of ages of remaining players be x.
Now,
x+26+29/11-x/9 = 1.
x = 198.
The average age of players is 198+26+29/11 = 23 years.
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.
Vineela reddy said:
1 decade ago
Let avg of team = x.
Sum = avg*no.of persons.
Sum = x*11.
Let captain age = 26.
Wicketkeeper age = 26+3=29;(3 yrs older than captain so +3 is added).
So now (11x-(26+29)).....eq(1).
Now two are excluded there are 9 members:i.e., N=9;
Given avg is decreased by "-1"so avg is :x-1;
Then sum is=9(x-1).... eqn(2).
Equating 1&2,
We get x=23 years.
Sum = avg*no.of persons.
Sum = x*11.
Let captain age = 26.
Wicketkeeper age = 26+3=29;(3 yrs older than captain so +3 is added).
So now (11x-(26+29)).....eq(1).
Now two are excluded there are 9 members:i.e., N=9;
Given avg is decreased by "-1"so avg is :x-1;
Then sum is=9(x-1).... eqn(2).
Equating 1&2,
We get x=23 years.
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