document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=886869>Question 886869</A>: <I><SPAN STYLE=\"word-break: break-all;\"> there is a two digit number in which the sum of its digits is 6 while the product of the digits is 1/3 the original number. Find this number </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #536289 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=536289\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> there is a two digit number in which the sum of its digits is 6 while the product of the digits is 1/3 the original number. Find this number<BR>\n" );
document.write( "***<BR>\n" );
document.write( "let u=units digit<BR>\n" );
document.write( "let t=tens digit<BR>\n" );
document.write( "..<BR>\n" );
document.write( "u+t=6<BR>\n" );
document.write( "u=6-t<BR>\n" );
document.write( "ut=1/3(10t+u)<BR>\n" );
document.write( "3 ut=10t+u<BR>\n" );
document.write( "3t(6-t)=10t+6-t<BR>\n" );
document.write( "18t-3t^2=10t+6-t<BR>\n" );
document.write( "3t^2-9t+6=0<BR>\n" );
document.write( "t^2-3t+2=0<BR>\n" );
document.write( "(t-2)(t-1)=0<BR>\n" );
document.write( "t=2 or 1<BR>\n" );
document.write( "u=4 or 5<BR>\n" );
document.write( "original number=24 or 15 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );