SOLUTION: 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

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: 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      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



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
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = number of years the man was alive
boyhood = %281%2F6%29%2Ax
years played football = %281%2F8%29%2Ax
years between football and marriage = 5
years after marriage daughter was born = %281%2F12%29%2Ax
years Daughter was alive = %281%2F2%29%2Ax
years after daughter died that man died = 6
------------------------------------------------------
All of this added together is the man's whole lifetime, so
x+=+%281%2F6%29%2Ax+%2B+%281%2F8%29%2Ax+%2B+5+%2B+%281%2F12%29%2Ax+%2B+%281%2F2%29%2Ax+%2B+6
Multiply both sides of equation by 24
24x+=+4x+%2B+3x+%2B+120+%2B+2x+%2B+12x+%2B+144
24x+-+4x+-+3x+-+2x+-+12x+=+264
24x+-+21x+=+264
3x+=+264
x+=+88
The man lived to be 88 years old
check:
x+=+%281%2F6%29%2Ax+%2B+%281%2F8%29%2Ax+%2B+5+%2B+%281%2F12%29%2Ax+%2B+%281%2F2%29%2Ax+%2B+6

88+=+88%2A%281%2F6+%2B+1%2F8+%2B+1%2F12+%2B+1%2F2%29+%2B+11
Divide+both+sides+by+%7B%7B%7B88
1+=+1%2F6+%2B+1%2F8+%2B+1%2F12+%2B+1%2F2+%2B+11%2F88
1+=+4%2F24+%2B+3%2F24+%2B+2%2F24+%2B+12%2F24+%2B+3%2F24
1+=+24%2F24
OK