document.write( "Question 159407: A man's boyhood lasted 1/6 of his life, he played football for the next 1/8 of his life, and he married 5 years after quitting football. A daughter was born after he had been married 1/12 of his life. The daughter lived 1/2 as many years as her father. The man died 6 years after his daughter. How old was the man when he died? Use a number line to illustrate the time. Then write an equation and solve it. \n" ); document.write( "
Algebra.Com's Answer #117550 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A man's boyhood lasted 1/6 of his life, he played football for the next 1/8 of his life, and he married 5 years after quitting football. A daughter was born after he had been married 1/12 of his life. The daughter lived 1/2 as many years as her father. The man died 6 years after his daughter. How old was the man when he died? Use a number line to illustrate the time. Then write an equation and solve it. \n" ); document.write( ": \n" ); document.write( "Let x = the final age of the guy \n" ); document.write( ": \n" ); document.write( "Final age = Boyhood + football + 5 yr married + child's birth + child's life + 6 = \n" ); document.write( "x = \n" ); document.write( "Multiply equation by 24 to get rid of the denominators, results: \n" ); document.write( "24x = 4x + 3x + 24(5) + 2x + 12x + 24(6) \n" ); document.write( ": \n" ); document.write( "24x = 21x + 120 + 144 \n" ); document.write( ": \n" ); document.write( "24x - 21x = 264 \n" ); document.write( "x = \n" ); document.write( "x = 88 yrs his final age \n" ); document.write( ": \n" ); document.write( "Check solution in original equation: \n" ); document.write( "88 = \n" ); document.write( "88 = 14 \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Number line (approximate) \n" ); document.write( "Born + Boyhood + football + 5yr + child's birth + child's life + 6 \n" ); document.write( "0--------------16---------26---31------38------------------------------------------82-----88 \n" ); document.write( " \n" ); document.write( " |