document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=840901>Question 840901</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The product of the digits of a two digit positive number is 24. If 18 is added to the number then the number is interchanged. Find the numer.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #805928 by </B><A HREF=/tutors/aboutme.mpl?userid=CubeyThePenguin><B>CubeyThePenguin(3113)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CubeyThePenguin><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=CubeyThePenguin><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=805928\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2-digit number: AB\r<BR>\n" );
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document.write( "AB = 24<BR>\n" );
document.write( "10A + B + 18 = 10B + A ----> 9A - 9B = -18 ---> A - B = -2\r<BR>\n" );
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document.write( "Substitute A = B - 2 into the first equation.\r<BR>\n" );
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document.write( "(B-2)(B) = 24<BR>\n" );
document.write( "B^2 - 2B - 24 = 0<BR>\n" );
document.write( "(B - 6)(B + 4) = 0\r<BR>\n" );
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document.write( "The digits have to be positive, so B = 6 and A = 4.\r<BR>\n" );
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document.write( "The number is AB = 46. </SPAN>\n" );
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