Aptitude - Average - Discussion

Thanks all for explaining the answer.

Let Avg age of dull team be x.

So acc to formula sum/n=avg----> equation 1)
We have 26+29+ 9 members of cricket team / 11 = x ---> equation 2)

Now Acc to ques: the average age of the remaining players is one year less than the average age of the whole team if those two players are excluded so again putting in eq 1,

9 members / 9 = x- 1 ----> equation 3.

where x is avg of the whole team

Get the value of 9 members from equation 2 and place it in eq 3.
We will get the answer as 23.

Thanks all for explaining it.

Cross check the answers:

X = 253/11 = 23,
X = 253 - 26 - 29 = 198,
198/9 = 22.

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.

Great explanation @Rahul. Thanks.

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.

@Habiba

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

To be simple;
Avg - 55 = avg-1( bcoz if excluded 1 yr less than avg),
Avg = 23.