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.
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.
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.
Kani joh said:
5 years ago
@ Aditya.
Here, it is mentioned the captain age is 26 and wicket-keeper is older than captain with three years.
It means captain age=23 and wicket-keeper age= captain age+3. i.e 26.
Here, it is mentioned the captain age is 26 and wicket-keeper is older than captain with three years.
It means captain age=23 and wicket-keeper age= captain age+3. i.e 26.
Sindhu said:
1 decade ago
As the avg age of remaining when the two persons are excluded is one less than that of avg age of all. Then why +1 is done on the side of avg of remaining after excluding 2 persons ?
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.
Irfan said:
6 years ago
Let the average age of the whole team by x years.
11x - (26 + 29) = 9(x -1).
11x-55=9x-9.
11x - 9x = -9+55.
2x = 46.
x = 23..
So, the average age of the team is 23 years.
11x - (26 + 29) = 9(x -1).
11x-55=9x-9.
11x - 9x = -9+55.
2x = 46.
x = 23..
So, the average age of the team is 23 years.
Sowji said:
1 decade ago
Sir you are saying that the wicket keeper's age was 29 but in the problem it was not mentioned then how can one take it as 29 years as the age of wicket keeper?
Maria Mukhtiar said:
3 years ago
By Balancing two sides.
x = average.
9x + 26 + 29/11 = (x/9)+1.
9x + 55/11 = x + 9/9,
9x + 5 = x,
9 x 5 = 2x,
45 = 2x,
45/2 = x.
x = 22.5 (round off)
x = 23.
x = average.
9x + 26 + 29/11 = (x/9)+1.
9x + 55/11 = x + 9/9,
9x + 5 = x,
9 x 5 = 2x,
45 = 2x,
45/2 = x.
x = 22.5 (round off)
x = 23.
(22)
Sonam said:
3 years ago
From the question,
= Sum of 9 players + (26+29)/11 = x-------> Eqn. 1
= Sum of 9 players/9 = x-1---------> Eqn. 2
9x-9+26+29 = 11x,
46 = 2x,
x = 23.
= Sum of 9 players + (26+29)/11 = x-------> Eqn. 1
= Sum of 9 players/9 = x-1---------> Eqn. 2
9x-9+26+29 = 11x,
46 = 2x,
x = 23.
(61)
Mounika Reddy said:
9 years ago
Total 11 members.
So, 10 * 26 + 29 * 1/11 = 26.3.
If two are excluded,
8 * 26 + 29 * 1/11 = 21.6.
Average of team = 26.3 + 21.6/2.
So, the Answer is 23.
So, 10 * 26 + 29 * 1/11 = 26.3.
If two are excluded,
8 * 26 + 29 * 1/11 = 21.6.
Average of team = 26.3 + 21.6/2.
So, the Answer is 23.
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