SOLUTION: Harry is 6 years older than his cousin Carl, and the product of their ages is 9 less than 16 times the sum of their ages. How old is each?

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: Harry is 6 years older than his cousin Carl, and the product of their ages is 9 less than 16 times the sum of their ages. How old is each?       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1196002: Harry is 6 years older than his cousin Carl, and the product of their ages is 9 less than 16 times the sum of their ages. How old is each?

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Harry is 6 years older than his cousin Carl, and the product of their ages is 9 less than 16 times the sum of their ages. How old is each?
-----------------
H = C + 6
H*C = 16(H + C) - 9
----
(C+6)*C = 16*(C+6 + C) - 9
C^2 + 6C = 32C + 96 - 9
C^2 - 26C - 87 = 0
(C-29)*(C+3) = 0
C = 29 ---- ignore the -3
H = 35