SOLUTION: A parent has two children whose age difference is 5 years.Twice the sum of the ages of the two children is equal to the age of the parent. Taking x to be the age of the elder chil

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: A parent has two children whose age difference is 5 years.Twice the sum of the ages of the two children is equal to the age of the parent. Taking x to be the age of the elder chil      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1096069: A parent has two children whose age difference is 5 years.Twice the sum of the ages of the two children is equal to the age of the parent.
Taking x to be the age of the elder child
a) Write an expression for the age of the young child
b) Write an expression for the age of the parent

Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
y, younger child
x, older child
p, parent

system%28x-y=5%2C2%28x%2By%29=p%29


(a)
Age of the young child:
x=y%2B5
-
2%28y%2B5%2By%29=p
2%282y%2B5%29=p
4y%2B10=p
4y=p-10
highlight%28y=%28p-10%29%2F4%29


(b)
Decide if you want p to be in terms of y or in terms of x.