document.write( "Question 585757: a man is 37 years old and his child is 8 years old. How many years ago was the product of their ages 96? \n" ); document.write( "
Algebra.Com's Answer #373518 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! a man is 37 years old and his child is 8 years old. \n" ); document.write( "How many years ago was the product of their ages 96? \n" ); document.write( ": \n" ); document.write( "Let y = no. of yrs ago that this was true \n" ); document.write( ": \n" ); document.write( "(37-y)(8-y) = 96 \n" ); document.write( "FOIL \n" ); document.write( "296 - 37y - 8y + y^2 = 96 \n" ); document.write( ": \n" ); document.write( "y^2 - 45y + 296 - 96 = 0 \n" ); document.write( "y^2 - 45y + 200 = 0 \n" ); document.write( "Factors to \n" ); document.write( "(y-5)(y-40) = 0 \n" ); document.write( "Two solutions \n" ); document.write( "y = 40 \n" ); document.write( "and \n" ); document.write( "y = 5 yrs, is the only reasonable answer \n" ); document.write( ": \n" ); document.write( "5 yrs ago: 32 * 3 = 96 \n" ); document.write( " \n" ); document.write( " |