document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=181116>Question 181116</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There is a two-digit number whose product is 18 and whose sum is 9. The number in the tens place is lower than the number in theones place. What is the two digit number? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #135775 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=135775\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "I'm pretty sure you meant that the product <i>of the digits</i> is 18 and the sum <i>of the digits</i> is 9.\r<BR>\n" );
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document.write( "Let <i>x</i> be the tens digit and <i>y</i> be the ones digit.\r<BR>\n" );
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document.write( "Then we know that <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large xy = 18\"> and <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x + y = 9\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \text{          }\math x + y = 9 \ \ \rightarrow \ \ y = 9 - x\">\r<BR>\n" );
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document.write( "Substituting:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \text{          }\math x(9 - x) = 18 \ \ \rightarrow \ \ -x^2 + 9x - 18 = 0 \ \ \rightarrow \ \ (x - 3)(x - 6) = 0 \ \ \rightarrow \ \ x = 3 \text { or }\math x = 6\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x = 3 \ \ \rightarrow \ \ y = 9 - 3 = 6\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x = 6 \ \ \rightarrow \ \ y = 9 - 6 = 3\">\r<BR>\n" );
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document.write( "But since we are also given that <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x < y\"> we know that <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x = 3 \text{ and } y = 6\">\r<BR>\n" );
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document.write( "Therefore the number is 36.<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
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