document.write( "Question 1185069: The sum of two numbers is 89. Their difference is 23. What are the two numbers?
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Algebra.Com's Answer #815791 by Edwin McCravy(20055)![]() ![]() You can put this solution on YOUR website! ...two numbers... \r\n" ); document.write( " Let x = the larger\r\n" ); document.write( " Let y = the smaller \n" ); document.write( "The sum of two numbers is 89. \r\n" ); document.write( " x + y = 89 \n" ); document.write( "Their difference is 23. \r\n" ); document.write( " x - y = 23 \n" ); document.write( "What are the two numbers? \r\n" ); document.write( "Write the two equations one under the other\r\n" ); document.write( "and add them term by term:\r\n" ); document.write( "\r\n" ); document.write( " x + y = 89\r\n" ); document.write( " x - y = 23\r\n" ); document.write( "------------\r\n" ); document.write( "2x = 112\r\n" ); document.write( "\r\n" ); document.write( "Divide both sides by 2:\r\n" ); document.write( "\r\n" ); document.write( " x = 56\r\n" ); document.write( "\r\n" ); document.write( "Substitute in\r\n" ); document.write( "\r\n" ); document.write( " x + y = 89\r\n" ); document.write( "56 + y = 89\r\n" ); document.write( " y = 33\r\n" ); document.write( "\r\n" ); document.write( "The larger number is 56 and the smaller is 33.\r\n" ); document.write( "\r\n" ); document.write( "Check: Add them 56+33 = 89. That checks.\r\n" ); document.write( " Subtract them: 56-33 = 23. That checks. Woo hoo!\r\n" ); document.write( "\r\n" ); document.write( "Edwin \n" ); document.write( " \n" ); document.write( " |