document.write( "Question 744570: one number is 13 less than the other./ their sum is 45. what are the numbers \n" ); document.write( "
Algebra.Com's Answer #453421 by davethejackal(28)![]() ![]() You can put this solution on YOUR website! Let the 2 numbers = x and y.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "\"one number is 13 less than the other\" \n" ); document.write( "so x = y-13[1]\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "\" their sum is 45\" \n" ); document.write( "so x+y=45 [2]\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Substitute for x in [2] using [1] \n" ); document.write( "y-13+y=45\r \n" ); document.write( "\n" ); document.write( "Rearranging: \n" ); document.write( "2y=58\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Thus y = 29.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Substituting in [1] \n" ); document.write( "x = y-13 = 29-13 = 16.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Check in [2] \n" ); document.write( "x+y = 29+16 = 45 QED\r \n" ); document.write( "\n" ); document.write( "The 2 numbers are 16 and 29. \n" ); document.write( " |