document.write( "Question 697628: A man is 37 years old and his child's age is 8. How many years ago was the product of their ages 96 \n" ); document.write( "
Algebra.Com's Answer #430196 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A man is 37 years old and his child's age is 8. \n" ); document.write( " How many years ago was the product of their ages 96 \n" ); document.write( ": \n" ); document.write( "Let x = no. yrs ago for this to be true \n" ); document.write( ": \n" ); document.write( "(37-x)(8-x) = 96 \n" ); document.write( "FOIL \n" ); document.write( "296 - 37x - 8x + x^2 = 96 \n" ); document.write( "x^2 - 45x + 296 - 96 = 0 \n" ); document.write( "x^2 - 45x + 200 = 0 \n" ); document.write( "Factors to \n" ); document.write( "(x-40)(x-5) = 0 \n" ); document.write( "x = 5 yrs is the only reasonable solution \n" ); document.write( ": \n" ); document.write( "see if that is true \n" ); document.write( "32 * 3 - 96 \n" ); document.write( " |