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?

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) (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
RELATED QUESTIONS
Ed and Carl are brothers. The sum of their ages and their father's age is 61 years. Ed is (answered by jim_thompson5910)

Lebron is 5 years older than Kuz. The product of their ages is 21 years less than 15... (answered by ewatrrr)

thirdy is 4 years older than his brother kai. if the product of their ages is 4 less than (answered by josgarithmetic)

rebecca is 6 years older than three times andrews age. the sum of their ages is 18. find... (answered by rfer)

the sum of ages a man and his wife is 15 years. the man is 15 years older than his wife.... (answered by richwmiller,Alan3354)

A boy is 3 years older than his sisther if the product of their ages is 378, find their... (answered by solver91311)

a father is 25 years older than his son. The sum of their ages is 53 years. Find their... (answered by Ash14)

a father is 25 years older than his son. the sum of their ages is 53 years find their... (answered by ikleyn)

Kevin is five years older than his younger brother Jack. Their cousin Michael is three... (answered by josmiceli)