SOLUTION: The average age of a family of 6 members is 25 years. The average age of the family after a 45 years-old member leaves is

Algebra.Com
Question 738212: The average age of a family of 6 members is 25 years. The average age of the family after a 45 years-old member leaves is

Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
The average age of a family of 6 members is 25 years. The average age of the family after a 45 years-old member leaves is
Suppose the family consists of

Father who is 45
Mother who is 44
Jackie who is 19
Aaron  who is 17 
Bill   who is 15
Sarah  who is 10

Let's get their average age

45+44+19+17+15+10 = 150

Then 150 divided by 6 is 25.

So their average age is 25.

Now suppose the Father leaves.

Then there are only these 5 people left:

Mother who is 44
Jackie who is 19
Aaron  who is 17 
Bill   who is 15
Sarah  who is 10

Now let's get their average age

44+19+17+15+10 = 105

Then 105 divided by 5 is 21.

So their average age is 21.

That's the correct answer.  But there is a way to do the
problem without haveing to list the individual people and
their ages.  See if you can figure out how you could do
that without listing anybody or their ages and still get 21.

Edwin

RELATED QUESTIONS

the average age of members of a 4 member family is 15 years.twenty years from now the... (answered by ankor@dixie-net.com)
The average age of 6 person is 25 years.the average of the group when a 45 years old... (answered by Cromlix)
The average age of four family members is 19 years. After 2 years, their average age will (answered by ewatrrr)
4 members of a family 10 years ago, the average age was 24 years old | 2 Children born... (answered by Edwin McCravy,ankor@dixie-net.com)
three years ago the average age of a family of six members was 19 years. A baby having... (answered by rwm)
three years ago the average age of a family of six members was 19 years. A baby having... (answered by Boreal)
Sharon's mom is eight more than twice her age. Her father is 3 years older than her... (answered by stanbon,mananth)
A total age of a family of 4 is 68. 4 years ago, it was 53. How old is the youngest... (answered by ikleyn)
the average of 5 members family age is 18 years . if grandfather is included the average... (answered by josgarithmetic)