document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=571157>Question 571157</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A two- digit is such that the sum of the digits is 11. When the number with the same digits reversed is subtracted from this number, the difference is 9. What is the number? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #367983 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=367983\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A two- digit is such that the sum of the digits is 11. When the number with the same digits reversed is subtracted from this number, the difference is 9. What is the 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( "u+t=11<BR>\n" );
document.write( "t=11-u<BR>\n" );
document.write( "original number=10t+u<BR>\n" );
document.write( "reversed number=10u+t<BR>\n" );
document.write( "10t+u-10u-t=9<BR>\n" );
document.write( "10(11-u)+u-10u-(11-u)=9<BR>\n" );
document.write( "110-10u+u-10u-11+u=9<BR>\n" );
document.write( "18u=90<BR>\n" );
document.write( "u=5<BR>\n" );
document.write( "t=11-u=6<BR>\n" );
document.write( "ans:<BR>\n" );
document.write( "original number=65<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );