document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=885691>Question 885691</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the sum of the digits of a two-digit number is 13. if the digits are reversed, the new number is 27 more than the original number.What is 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 #535359 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=535359\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the sum of the digits of a two-digit number is 13. if the digits are reversed, the new number is 27 more than the original number.What is 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( "u+t=13<BR>\n" );
document.write( "u=13-t<BR>\n" );
document.write( "..<BR>\n" );
document.write( "10u+t=10t+u+27<BR>\n" );
document.write( "10(13-t)+t=10t+13-t+27<BR>\n" );
document.write( "130-10t+t=10t+13-t+27<BR>\n" );
document.write( "18t=90<BR>\n" );
document.write( "t=5<BR>\n" );
document.write( "u=13-5=8<BR>\n" );
document.write( "original number=10t+u=58 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );