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 3 of 13.
Viswanath gouda said:
7 years ago
26+29+9(x-1) = 11x,
X=23.
X=23.
(1)
Gowtham said:
6 years ago
How (x-1) came here?
(1)
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)
Krunal said:
2 decades ago
Can you explain how that 46 comes?
Kavita said:
2 decades ago
11x - (26 + 29) = 9x - 9
11x - 9x = -9 + (26 + 29)
11x - 9x = 46
11x - 9x = -9 + (26 + 29)
11x - 9x = 46
Ratnakar said:
2 decades ago
Why 9(x-1), it may be 9x-1.
Please explain in detail.
Please explain in detail.
Vinoth said:
1 decade ago
No Ratnakar. You are wrong.
Varun said:
1 decade ago
Let the average age of 9 members be x.
(x+55)/11 - x/9 = 1
=> x=198.
(198+55)/11 => 23.
(x+55)/11 - x/9 = 1
=> x=198.
(198+55)/11 => 23.
Rahul said:
1 decade ago
Explanation:
Let x be the total ages of everyone in the team except the captain and wicketkeeper:
x / 9 = Avg. age of everyone except capt. and wkt keeper
(x + 26 + 29) / 11 = (x + 55) / 11 = Avg. age of full team
So:
(x + 55)/11 = (x/9) + 1 (since the average for team without those two is one less than the average with those two)
Add that 1 and you get (x+9)/9 and then cross multiply to get:
11x + 99 = 9x + 495
x = 198
So average age of team:
198 + 55 = 253
253/11 = 23 years
Much longer than explanation given above but it explains things better.
Let x be the total ages of everyone in the team except the captain and wicketkeeper:
x / 9 = Avg. age of everyone except capt. and wkt keeper
(x + 26 + 29) / 11 = (x + 55) / 11 = Avg. age of full team
So:
(x + 55)/11 = (x/9) + 1 (since the average for team without those two is one less than the average with those two)
Add that 1 and you get (x+9)/9 and then cross multiply to get:
11x + 99 = 9x + 495
x = 198
So average age of team:
198 + 55 = 253
253/11 = 23 years
Much longer than explanation given above but it explains things better.
Riya said:
1 decade ago
Thanks for the detailed explanation. Now I got it!.
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