document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=604790>Question 604790</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a number is made up of two digits. The sum of the digits is 11. if the digits are interchanged, the original number is increase by 9. Find the original number </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #381394 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=381394\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a number is made up of two digits. The sum of the digits is 11. if the digits are interchanged, the original number is increase by 9. Find the original 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=11<BR>\n" );
document.write( "t=11-u<BR>\n" );
document.write( "original number=10t+u<BR>\n" );
document.write( "interchanged number=10u+t<BR>\n" );
document.write( "..<BR>\n" );
document.write( "10u+t=10t+u+9<BR>\n" );
document.write( "sub (11-u) for t<BR>\n" );
document.write( "10u+11-u=10(11-u)+u+9<BR>\n" );
document.write( "10u+11-u=110-10u+u+9<BR>\n" );
document.write( "18u=108<BR>\n" );
document.write( "u=6<BR>\n" );
document.write( "t=11-u=5<BR>\n" );
document.write( "ans:<BR>\n" );
document.write( "original number <BR>\n" );
document.write( "=10t+u<BR>\n" );
document.write( "=50+6<BR>\n" );
document.write( "=56<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );