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?
23 years
24 years
25 years
None of these
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 12 of 13.

Ayusi said:   4 years ago
Age of the captain of 11 members is 26 and the age of the wicket keeper is 4 year so how 26+29? Please anyone explain me.

Mapuia sailo said:   4 years ago
Great explanation @Rahul. Thanks.

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.

Yakub said:   4 years ago
@Habiba

Please explain the Term 11x-(26+(26+3)=9 (x-1).

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.
(9)

Sam said:   4 years ago
(X/11) = Y.
X = 11Y,
26 + 29 = 55,
(X-55)/9 = (Y-1)9,
Y = 23.
(3)

Siri_leyna said:   4 years ago
To be simple;
Avg - 55 = avg-1( bcoz if excluded 1 yr less than avg),
Avg = 23.
(3)

Siri_leyna said:   4 years ago
To be simple;
Avg - 55 = avg-1( bcoz if excluded 1 yr less than avg),
Avg = 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.
(12)

Nitin said:   3 years ago
Very good explanation, Thanks @Panddu.
(2)


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