document.write( "Question 464478: The difference of two numbers is 14 . The larger number is 3 more than twice the smaller number.Find the numbers.
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #318195 by amoresroy(361)![]() ![]() You can put this solution on YOUR website! The difference of two numbers is 14 . The larger number is 3 more than twice the smaller number.Find the numbers.\r \n" ); document.write( "\n" ); document.write( "Let x = the smaller number \n" ); document.write( " y = the larger number\r \n" ); document.write( "\n" ); document.write( "1st equation: \n" ); document.write( "y - x = 14\r \n" ); document.write( "\n" ); document.write( "2nd equation: \n" ); document.write( "y = 2x + 3\r \n" ); document.write( "\n" ); document.write( "Substitute y = 2x + 3 in equation 1 to get \n" ); document.write( "(2x+3)-x = 14 \n" ); document.write( "x = 14-3 \n" ); document.write( "x = 11\r \n" ); document.write( "\n" ); document.write( "Substitute x = 11 in equation 2 to get \n" ); document.write( "y = 2(11) + 3 \n" ); document.write( "y = 25\r \n" ); document.write( "\n" ); document.write( "The numbers are 11 and 25. \n" ); document.write( " |