document.write( "Question 359586: If the sum and product of two numbers are equal, what are the numbers? \n" ); document.write( "

Algebra.Com's Answer #256595 by Fombitz(32388) $\"\"$ $\"About$

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Let the two numbers be x and y.
\n" ); document.write( " $\"x%2By=xy\"$
\n" ); document.write( " $\"y-xy=-x\"$
\n" ); document.write( " $\"y=-x%2F%281-x%29\"$
\n" ); document.write( " $\"y=x%2F%28x-1%29\"$
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\n" ); document.write( "There are an infinite number of solutions.
\n" ); document.write( "Pick any $\"x\"$ other than $\"x=1\"$ .
\n" ); document.write( "The matching number that has the property that the product equals the sum would be
\n" ); document.write( " $\"y=x%2F%28x-1%29\"$
\n" ); document.write( "As an example,
\n" ); document.write( " $\"x=2\"$
\n" ); document.write( " $\"y=2%2F%282-1%29=2\"$
\n" ); document.write( " $\"2%2A2=2%2B2\"$
\n" ); document.write( " $\"4=4\"$
\n" ); document.write( "True.
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\n" ); document.write( "Another example,
\n" ); document.write( " $\"x=10\"$
\n" ); document.write( " $\"y=10%2F9\"$
\n" ); document.write( " $\"10%2810%2F9%29=10%2B10%2F9\"$
\n" ); document.write( " $\"100%2F9=90%2F9%2B10%2F9\"$
\n" ); document.write( " $\"100%2F9=100%2F9\"$
\n" ); document.write( "True.\r
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