document.write( "Question 946338: one number is 6 more than another the difference between their squares is 192 what are the numbers \n" ); document.write( "
Algebra.Com's Answer #577320 by amarjeeth123(570)![]() ![]() ![]() You can put this solution on YOUR website! Let the number be x. \n" ); document.write( "Then the other number is (x+6). \n" ); document.write( "The difference between their squares is 192 \n" ); document.write( "(x+6)^2-x^2=192 \n" ); document.write( "Expanding we get, \n" ); document.write( "x^2+12x+36-x^2=192 \n" ); document.write( "12x+36=192 \n" ); document.write( "12x=156 \n" ); document.write( "x=13 \n" ); document.write( "The numbers are 13 and 19 respectively. \n" ); document.write( " |