Aptitude - Average - Discussion

Can you explain how 29 comes?

@palak

given age of captain is 26yrs.

wicket keeper is 3yrs older than captain.

so we get age of wicket keeper as 26+3=29 yrs.

hope u understood.

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.

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 ?

Whole team = X.

11X-55=99-9.

2X=64.

X=23.

1. The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older

Step1. Let Avg age of whole team be x except the captain and wicketkeeper.

we can write as eq: (X+26+29)/11

Step2.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

Means x/9=((X+26+29)/11)-1
(x/9)+1=(x+55)/11
11x+99=9x+495
2x=396
x=198
Avg. age of whole team be x+55/11=253/11=23

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?

In question its given 3 years older. It should be clearly given like 3 years older than captain.

"11x - (26 + 29) = 9x - 9" how this 9x - 9 came from? please explain. I don't understand.

@Angana,

Let x=age.

11x is the age of all 11 members. but since the captain and wicket keepers age is given, equation will be:
11x-(26+(26+3))
=11x-55.

Now out off 11 members, we are given the ages of 2 members. so v have to find the age of 9 members.the age of 9 members, according to the question is one year less than the average age of the whole team. that is x-1. so equation will be:
9(x-1)
=9x-9.

Putting both equations together,

11x-55 = 9x-9
11x-9x = 55-9
2x = 46.
x = 23.