SOLUTION: Fred is 8 years older than frank . Francis is 3 years younger than Fred . If the sum of their ages is 40 , find the age of each child

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: Fred is 8 years older than frank . Francis is 3 years younger than Fred . If the sum of their ages is 40 , find the age of each child       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1003080: Fred is 8 years older than frank . Francis is 3 years younger than Fred . If the sum of their ages is 40 , find the age of each child
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
In ABC order      Variable
Francis            x
Frank              y
Fred               z

system%28z=y%2B8%2Cx=z-3%2Cx%2By%2Bz=40%29

A succession of substitutions and simplifications will bring you to the solutions.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Fred is 8 years older than frank . Francis is 3 years younger than Fred . If the sum of their ages is 40 , find the age of each child 
Let Fred's age be F

Then Frank's is: F - 8

Francis' is: F - 3

We then get: F + F - 8 + F - 3 = 40

Solve for F, Fred's age, and find the others' ages.