document.write( "Question 963804: The sum of two numbers is 20. The difference between their product and their sum yields 71. Find the smaller number \n" ); document.write( "

Algebra.Com's Answer #588792 by macston(5194) $\"\"$ $\"About$

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S=smaller number;L=larger number
\n" ); document.write( " $\"S%2BL=20\"$
\n" ); document.write( " $\"L=20-S\"$
\n" ); document.write( " $\"%28S%29%28L%29-20=71\"$
\n" ); document.write( " $\"%28S%29%28L%29=91\"$ Substitute for L
\n" ); document.write( " $\"%28S%29%2820-S%29=91\"$
\n" ); document.write( " $\"-S%5E2%2B20S=91\"$
\n" ); document.write( " $\"-S%5E2%2B20S-91=0\"$
\n" ); document.write( " $\"S%5E2-20S%2B91=0\"$
\n" ); document.write( " $\"%28S-13%29%28S-7%29=0\"$
\n" ); document.write( " $\"S-13=0\"$ or $\"S-7=0\"$
\n" ); document.write( " $\"S=13\"$ or $\"S=7\"$
\n" ); document.write( "ANSWER: The smaller number is 7.
\n" ); document.write( "CHECK:
\n" ); document.write( " $\"%28%28S%29%28L%29%29-%28S%2BL%29=71\"$
\n" ); document.write( " $\"%28%287%29%2813%29%29-%287%2B13%29=71\"$
\n" ); document.write( " $\"91-20=71\"$
\n" ); document.write( " $\"71=71\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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