document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=202878>Question 202878</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The difference of two numbers is -8 and the product is 20. The smallest number is? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #153058 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10551)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=153058\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since the difference between the 2 numbers is – 8, it means that the larger number is subtracted from the smaller number to get – 8. By letting the smaller number be s, and the larger number l, we have the following equations:\r<BR>\n" );
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document.write( "s – l = - 8 <BR>\n" );
document.write( "sl = 20\r<BR>\n" );
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document.write( "Using the 1st equation to solve for l, we get:   \r<BR>\n" );
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document.write( "-	l = - 8 – s<BR>\n" );
document.write( "l  =  8  +  s\r<BR>\n" );
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document.write( "Substituting this value, 8 + s for l in equation 2, we get: \r<BR>\n" );
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document.write( "s(8 + s) = 20<BR>\n" );
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document.write( "(s + 10)(s – 2)  =  0\r<BR>\n" );
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document.write( "s = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28-10%29 ALIGN=MIDDLE  ALT=\"highlight%28-10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%282%29 ALIGN=MIDDLE  ALT=\"highlight%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Therefore, s, or the smaller number can either be – 10, or 2\r<BR>\n" );
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document.write( "If the small number is – 10, then the larger number is - 2\r<BR>\n" );
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document.write( "s – l = - 8<BR>\n" );
document.write( "- 10 - - 2 =  - 8<BR>\n" );
document.write( "- 10 +  2 = - 8 (TRUE)\r<BR>\n" );
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document.write( "sl = 20<BR>\n" );
document.write( "- 10 * - 2 = 20 (TRUE)\r<BR>\n" );
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document.write( "If the small number is 2, then the larger number is 10\r<BR>\n" );
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document.write( "s  - l = - 8<BR>\n" );
document.write( "2 – 10 = - 8 (TRUE)\r<BR>\n" );
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document.write( "sl = 20<BR>\n" );
document.write( "2 * 10 = 20 TRUE)<BR>\n" );
document.write( " </SPAN>\n" );
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