document.write( "Question 661024: the smaller of two numbers is 9 less than the larger, and their sum is 37. find the numbers \n" ); document.write( "
Algebra.Com's Answer #411449 by colliefan(242)![]() ![]() ![]() You can put this solution on YOUR website! First write the information as algebraic equations.\r \n" ); document.write( "\n" ); document.write( "the smaller of two numbers is 9 less than the larger gives: \n" ); document.write( "If one number is x, the other number is x-9\r \n" ); document.write( "\n" ); document.write( "The sum is 37:\r \n" ); document.write( "\n" ); document.write( "x+(x-9)=37\r \n" ); document.write( "\n" ); document.write( "(x+x)-9=37 \n" ); document.write( "2x-9=37 \n" ); document.write( "2x-9=37\r \n" ); document.write( "\n" ); document.write( "To solve this, remember whatever you do to one side, you must do to the other.\r \n" ); document.write( "\n" ); document.write( "2x-9+9=37+9 \n" ); document.write( "2x+0=46 \n" ); document.write( "2x=46 \n" ); document.write( "2x*1/2=46*1/2 \n" ); document.write( "x=23\r \n" ); document.write( "\n" ); document.write( "Check it. Is the sum of x and x-9 37?\r \n" ); document.write( "\n" ); document.write( "23 + 14 =37\r \n" ); document.write( "\n" ); document.write( "The numbers are 23 and 14. \n" ); document.write( " \n" ); document.write( " |