SOLUTION: Okay here is my question... The sum of Jamie's age and Devon's age is 30. Ten years ago the product of their ages was 24. If Jamie is younger than Devon, what are their ages?

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: Okay here is my question... The sum of Jamie's age and Devon's age is 30. Ten years ago the product of their ages was 24. If Jamie is younger than Devon, what are their ages?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 57218: Okay here is my question...
The sum of Jamie's age and Devon's age is 30. Ten years ago the product of their ages was 24. If Jamie is younger than Devon, what are their ages?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of Jamie's age and Devon's age is 30. Ten years ago the product of their ages was 24. If Jamie is younger than Devon, what are their ages?
-------------------
NOW DATA:
Let Jamie's age be "x"
Devon's age is "30-x"
--------------
Ten Years ago DATA:
Jameie's age was "x-10"
Devon's age was "30-x-10" = "20-x"
EQUATION:
Ten yrs. ago the product of their ages was 24
(x-10)(20-x)=24
20x-x^2-200+10x=24
-x^2+30x-200=24
x^2-30x+224=0
(x-16)(x-14)=0
x=16 or x=14
x=[30+-sqrt(900-4(224)]/2
x=[30+-2]/2
x=16 or x=14
Jamie is younger than Devon so Jamie is 14.
Cheers,
Stan H.