document.write( "Question 462558: The sum of two numbers is 55 and the difference is 15 . What are the numbers? \n" ); document.write( "

Algebra.Com's Answer #317080 by MathLover1(20850) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( "let's numbers be $\"x\"$ and $\"y\"$ \r
\n" ); document.write( "\n" ); document.write( "given:\r
\n" ); document.write( "\n" ); document.write( "The sum of two numbers is 55:\r
\n" ); document.write( "\n" ); document.write( " $\"x%2By=55\"$ ...........1\r
\n" ); document.write( "\n" ); document.write( " and the difference is 15:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"x-y=15\"$ ...........2\r
\n" ); document.write( "\n" ); document.write( "solve this system:\r
\n" ); document.write( "\n" ); document.write( " $\"x%2By=55\"$ ...........1\r
\n" ); document.write( "\n" ); document.write( " $\"x-y=15\"$ ...........2
\n" ); document.write( "------------------------------add them\r
\n" ); document.write( "\n" ); document.write( " $\"x%2Bx%2By-y=55%2B%28-15%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"2x%2Bcross%28y%29-cross%28y%29=40\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"2x=40\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=40%2F2\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=20\"$ \r
\n" ); document.write( "\n" ); document.write( "now find $\"y\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"x%2By=55\"$ ...........1\r
\n" ); document.write( "\n" ); document.write( " $\"y=55-x\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"y=55-20\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"y=35\"$ \r
\n" ); document.write( "\n" ); document.write( "so, your numbers are $\"20\"$ and $\"35\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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