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.
Sunny said:
10 years ago
Is any body tell me that why we are reducing 1 from average age of 9 persons (x/9-1) ?
In above equation why we reducing that one?
In above equation why we reducing that one?
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.
Neha said:
1 decade ago
Guys you are so fabulous thank you to explain me all this love this site.
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.
Niranj said:
1 decade ago
But I need clear explanation about x/9=(x+26=29/11)-1.
Javid Mir said:
1 decade ago
Let the sum of the ages of nine Players = x.
Then, average age of whole team = x+26+29/11.
Also, average age of nine players = x/9.
But average age of nine players = (average age of whole team)-1.
Therefore, x/9 = (x+26+29/11)-1.
x/9+1 = x+55/11.
On solving we get, x = 198.
Then, average age of whole team = x+55/11, substituting value of x.
Average age of whole team = 198+55/11.
Average age of whole team = 253/11 = 23 years.
Then, average age of whole team = x+26+29/11.
Also, average age of nine players = x/9.
But average age of nine players = (average age of whole team)-1.
Therefore, x/9 = (x+26+29/11)-1.
x/9+1 = x+55/11.
On solving we get, x = 198.
Then, average age of whole team = x+55/11, substituting value of x.
Average age of whole team = 198+55/11.
Average age of whole team = 253/11 = 23 years.
Jeevitha said:
1 decade ago
Let the average age of the whole team be x years.
Then, the age of remaining 9 players is 9(x-1).
Given age of captain is 26 years.
Wicket keeper is 3 years older than captain.
So we get age of wicket keeper as 26+3 = 29 years.
Now apply the normal average formula.
{26+29+9 (x-1) }/11 = x.
55+ 9(x-1) = 11x.
9x-9+55 = 11x.
46 = 11x-9x.
2x = 46.
x = 23.
Then, the age of remaining 9 players is 9(x-1).
Given age of captain is 26 years.
Wicket keeper is 3 years older than captain.
So we get age of wicket keeper as 26+3 = 29 years.
Now apply the normal average formula.
{26+29+9 (x-1) }/11 = x.
55+ 9(x-1) = 11x.
9x-9+55 = 11x.
46 = 11x-9x.
2x = 46.
x = 23.
Vardhini said:
1 decade ago
x+26+29/11 = Total team average.
Wicket keeper & cap was excluded.
So x+55/11-x/9 = 1 in this comes x value.
So x = 198.
= 198+26+29/11 = 23.
The average of team is 23.
Wicket keeper & cap was excluded.
So x+55/11-x/9 = 1 in this comes x value.
So x = 198.
= 198+26+29/11 = 23.
The average of team is 23.
NIKHIL VERMA said:
1 decade ago
How does 9(x-1) came? Please make me understand this.
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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