SOLUTION: A family consist of a mother, a father, and some children. The average age of the family is 20, the father is 48 years old, and the average age of the mother and children is 16.How

Algebra ->  Average -> SOLUTION: A family consist of a mother, a father, and some children. The average age of the family is 20, the father is 48 years old, and the average age of the mother and children is 16.How      Log On


   

Question 1100820: A family consist of a mother, a father, and some children. The average age of the family is 20, the father is 48 years old, and the average age of the mother and children is 16.How many children are in the family?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A family consist of a mother, a father, and some children.
The average age of the family is 20, the father is 48 years old, and the average age of the mother and children is 16.
How many children are in the family?
:
let c = no. of children

%2848+%2B+16%28c%2B1%29%29%2F%28c%2B2%29+=+20
48 + 16c + 16 = 20(c+2)
64 + 16c = 20c + 40
64 - 40 = 20c - 16c
24 = 4c
c = 24/4
c = 6 children in the family
:
:
Check:
%2848+%2B+16%287%29%29%2F8 = 20
%2848+%2B+112%29%2F8 = 20