# 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

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 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(15646)   (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