document.write( "Question 121077: Is there anyone who can help me with this problem? I have worked it and I am not sure if my answer is correct. It is an Algebraic word problem.\r
\n" );
document.write( "\n" );
document.write( "The sum of two numbers is 32. Their difference is 6. What are the two numbers? \r
\n" );
document.write( "\n" );
document.write( "The answers I came up with is 16 and 26, is that correct? I would appreciate your help. \r
\n" );
document.write( "\n" );
document.write( "Thank you \n" );
document.write( "
Algebra.Com's Answer #88816 by praseenakos@yahoo.com(507)![]() ![]() You can put this solution on YOUR website! Question:\r \n" ); document.write( "\n" ); document.write( "The sum of two numbers is 32. Their difference is 6. What are the two numbers? \r \n" ); document.write( "\n" ); document.write( "Answer:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Assume that the numbers are x and y( Take x as the larger number).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Given, their sum is 32.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==> x + y = 32 -----------------(1)\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Also given that their difference is 6.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==> x - y = 6 ------------------(2)\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Add (1) and (2)\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==> x + y + (x - y ) = 32 + 6\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==> x + y + x - y = 38\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==> x + x + y - y = 38\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==> 2x = 38\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Divide both sides by 2.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==> \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==> x = 19\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So the larger number is 19.\r \n" ); document.write( "\n" ); document.write( "So the other number is 32-19\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==> y = 13\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So the numbers are 19 and 13.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Hope you found the explanation useful.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Regards.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Praseena.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |