SOLUTION: The product of the ages of Harry and Sandy is 240. If twice the age of Sandy is more than the age of Harry by 4 years, what is Sandy's age in years?

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: The product of the ages of Harry and Sandy is 240. If twice the age of Sandy is more than the age of Harry by 4 years, what is Sandy's age in years?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1116321: The product of the ages of Harry and Sandy is 240. If twice the age of
Sandy is more than the age of Harry by 4 years, what is Sandy's age in
years?
Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
system%28H%2AS=240%2C2S=H%2B4%29
Solve the 2nd equation for H,  

             H = 2S-4

and substitute in the 1st.

       (2S-4)S = 240

      2Sē - 4S = 240

2Sē - 4S - 240 = 0

 Sē - 2S - 120 = 0

  (S-12)(S+20) = 0

S-12 = 0;  S+20 = 0
   S = 12;    S = -20

Discard negative answer.

Sandy is 12.   (Harry is 20)

Edwin