SOLUTION: On Dave's birthday, his brother Harry is 17 years younger than 3 times his age. The boys'father, Tom, is 12 years older than Henry's age. If Dave is 7 years younger than his brothe

Question 157279: On Dave's birthday, his brother Harry is 17 years younger than 3 times his age. The boys'father, Tom, is 12 years older than Henry's age. If Dave is 7 years younger than his brother, how many candles are Dave's cake?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
On Dave's birthday, his brother Harry is 17 years younger than 3 times his age. The boys' father, Tom, is 12 years older than Henry's age. If Dave is 7 years younger than his brother, how many candles are Dave's cake?
:
Write an equation for each statement
:
"On Dave's birthday, his brother Harry is 17 years younger than 3 times his age."
D = 3D - 17 = H
or
H = 3D - 17
:
"Tom, is 12 years older than Henry's age." (Tom & Henry! Where did these guys come from??)
:
:
"If Dave is 7 years younger than his brother,"
D = H - 7
Or
H = D+7
:
Substitute (D+7) for H in the equation: H = 3D-17
D + 7 = 3D - 17
7 + 17 = 3D - D
24 = 2D
D =
D = 12 candles on his cake
:
:
Check solution: H = 12 + 7 = 19 yrs
:
H = 3D - 17
19 = 3(12) - 17

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