document.write( "Question 59399This question is from textbook Beginning Algebra
\n" ); document.write( ": Could someone please help me with this problem?\r
\n" ); document.write( "\n" ); document.write( " I need to solve and show the equation used for the solution:\r
\n" ); document.write( "\n" ); document.write( " The sum of two numbers is 40. Their difference is 8. Find the two numbers.\r
\n" ); document.write( "\n" ); document.write( " Thanks,
\n" ); document.write( " Sher \n" ); document.write( "

Algebra.Com's Answer #40693 by Edwin McCravy(20054) $\"\"$ $\"About$

You can put this solution on YOUR website!
Could someone please help me with this problem?\r
\n" ); document.write( "\n" ); document.write( " I need to solve and show the equation used for the solution:\r
\n" ); document.write( "\n" ); document.write( " The sum of two numbers is 40. Their difference is 8. Find the two numbers.\r
\n" ); document.write( "\n" ); document.write( " Thanks,
\n" ); document.write( " Sher
\n" ); document.write( "

\r\n" );
document.write( "Using one unknown:\r\n" );
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document.write( "Let the larger number = x\r\n" );
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document.write( ">>...The sum of two numbers is 40...<<\r\n" );
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document.write( "Since \r\n" );
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document.write( "larger number + smaller number = Sum of both numbers\r\n" );
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document.write( "Smaller number = Sum of both numbers - larger number\r\n" );
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document.write( "so\r\n" );
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document.write( "Smaller number = (40 - x)\r\n" );
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document.write( ">>,,,Their difference is 8...<<\r\n" );
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document.write( "Larger number - Smaller number = 8\r\n" );
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document.write( "                  x - (40 - x) = 8\r\n" );
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document.write( "Solve that and get x = 24\r\n" );
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document.write( "So larger number = x = 24\r\n" );
document.write( "Smaller number = 40 - x = 40 - 24 = 16\r\n" );
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document.write( "Using two unknowns:\r\n" );
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document.write( "Let the larger number = x\r\n" );
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document.write( "Let the smaller number = y\r\n" );
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document.write( ">>...The sum of two numbers is 40...<<\r\n" );
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document.write( " x + y = 40\r\n" );
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document.write( ">>...Their difference is 8...<<\r\n" );
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document.write( " x - y = 8\r\n" );
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document.write( "So we have the system of two equations in two unknowns\r\n" );
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document.write( " x + y = 40\r\n" );
document.write( " x - y =  8\r\n" );
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document.write( "Can you solve that system? If not post again asking\r\n" );
document.write( "how.\r\n" );
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document.write( "x = 24, y = 16\r\n" );
document.write( "       \r\n" );
document.write( "Edwin

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