SOLUTION: simon's age is half his father's age.If the product of their ages 10 years age was 600 years , how old are they?

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: simon's age is half his father's age.If the product of their ages 10 years age was 600 years , how old are they?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1074753: simon's age is half his father's age.If the product of their ages 10 years age was 600 years , how old are they?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
S=F%2F2
F=2S
and
%28S-10%29%2A%28F-10%29=600
Substituting,
%28S-10%29%282S-10%29=600
2S%5E2-30S%2B100=600
2S%5E2-30S-500=0
S%5E2-15S-250=0
%28S-25%29%28S%2B10%29=0
Only positive solutions make sense here,
S-25=0
S=25
So then,
F=2%2825%29
F=50