document.write( "Question 808898: tom is older than his brother. The product of their ages 6 years from now will be 120 more than the product of their present ages. Find each of their ages \n" ); document.write( "
Algebra.Com's Answer #487450 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! tom is older than his brother. \n" ); document.write( " The product of their ages 6 years from now will be 120 more than the product of their present ages. \n" ); document.write( "(t+6)(b+6) = tb + 120 \n" ); document.write( "FOIL \n" ); document.write( "tb + 6t + 6b + 36 = tb + 120 \n" ); document.write( "Subtract tb from both sides \n" ); document.write( "6t + 6b + 36 = 120 \n" ); document.write( "simplify, divide by 6 \n" ); document.write( "t + b + 6 = 20 \n" ); document.write( "t + b = 20-6 \n" ); document.write( "t + b = 14 \n" ); document.write( ": \n" ); document.write( " Find each of their ages \n" ); document.write( "Several possibilities \n" ); document.write( " T B \n" ); document.write( "13 1 \n" ); document.write( "12 2 \n" ); document.write( "11 3 \n" ); document.write( "10 4 \n" ); document.write( "9 5 \n" ); document.write( "8 6 \n" ); document.write( " \n" ); document.write( " |