document.write( "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? \n" ); document.write( "
Algebra.Com's Answer #116004 by ankor@dixie-net.com(22740)![]() ![]() 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? \n" ); document.write( ": \n" ); document.write( "Write an equation for each statement \n" ); document.write( ": \n" ); document.write( "\"On Dave's birthday, his brother Harry is 17 years younger than 3 times his age.\" \n" ); document.write( "D = 3D - 17 = H \n" ); document.write( "or \n" ); document.write( "H = 3D - 17 \n" ); document.write( ": \n" ); document.write( "\"Tom, is 12 years older than Henry's age.\" (Tom & Henry! Where did these guys come from??) \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "\"If Dave is 7 years younger than his brother,\" \n" ); document.write( "D = H - 7 \n" ); document.write( "Or \n" ); document.write( "H = D+7 \n" ); document.write( ": \n" ); document.write( "Substitute (D+7) for H in the equation: H = 3D-17 \n" ); document.write( "D + 7 = 3D - 17 \n" ); document.write( "7 + 17 = 3D - D \n" ); document.write( "24 = 2D \n" ); document.write( "D = \n" ); document.write( "D = 12 candles on his cake \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution: H = 12 + 7 = 19 yrs \n" ); document.write( ": \n" ); document.write( "H = 3D - 17 \n" ); document.write( "19 = 3(12) - 17\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |