document.write( "Question 269710: A man's boyhood lasted 1/6 of his life,he played football for the next 1/8 of his life and married five 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. use a number line. then write an equation and solve \n" ); document.write( "
Algebra.Com's Answer #197640 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"x\" = number of years the man was alive
\n" ); document.write( "boyhood = \"%281%2F6%29%2Ax\"
\n" ); document.write( "years played football = \"%281%2F8%29%2Ax\"
\n" ); document.write( "years between football and marriage = \"5\"
\n" ); document.write( "years after marriage daughter was born = \"%281%2F12%29%2Ax\"
\n" ); document.write( "years Daughter was alive = \"%281%2F2%29%2Ax\"
\n" ); document.write( "years after daughter died that man died = \"6\"
\n" ); document.write( "------------------------------------------------------
\n" ); document.write( "All of this added together is the man's whole lifetime, so
\n" ); document.write( "\"x+=+%281%2F6%29%2Ax+%2B+%281%2F8%29%2Ax+%2B+5+%2B+%281%2F12%29%2Ax+%2B+%281%2F2%29%2Ax+%2B+6\"
\n" ); document.write( "Multiply both sides of equation by \"24\"
\n" ); document.write( "\"24x+=+4x+%2B+3x+%2B+120+%2B+2x+%2B+12x+%2B+144\"
\n" ); document.write( "\"24x+-+4x+-+3x+-+2x+-+12x+=+264\"
\n" ); document.write( "\"24x+-+21x+=+264\"
\n" ); document.write( "\"3x+=+264\"
\n" ); document.write( "\"x+=+88\"
\n" ); document.write( "The man lived to be 88 years old
\n" ); document.write( "check:
\n" ); document.write( "\"x+=+%281%2F6%29%2Ax+%2B+%281%2F8%29%2Ax+%2B+5+%2B+%281%2F12%29%2Ax+%2B+%281%2F2%29%2Ax+%2B+6\"
\n" ); document.write( "
\n" ); document.write( "\"88+=+88%2A%281%2F6+%2B+1%2F8+%2B+1%2F12+%2B+1%2F2%29+%2B+11\"
\n" ); document.write( "\"Divide+both+sides+by+%7B%7B%7B88\"
\n" ); document.write( "\"1+=+1%2F6+%2B+1%2F8+%2B+1%2F12+%2B+1%2F2+%2B+11%2F88\"
\n" ); document.write( "\"1+=+4%2F24+%2B+3%2F24+%2B+2%2F24+%2B+12%2F24+%2B+3%2F24\"
\n" ); document.write( "\"1+=+24%2F24\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" );