document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=950226>Question 950226</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 original number is 45 less than the new number. 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 #580171 by </B><A HREF=/tutors/aboutme.mpl?userid=macston><B>macston(5194)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=macston><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=macston><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=580171\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> T=tens digit; N=ones digit<BR>\n" );
document.write( "T+N=13<BR>\n" );
document.write( "T=13-N<BR>\n" );
document.write( "10T+N=(10N+T)-45 Substitute for T<BR>\n" );
document.write( "10(13-N)+N=10N+(13-N)-45<BR>\n" );
document.write( "130-9N=9N-32 Add (9N+32) to each side.<BR>\n" );
document.write( "162=18N divide each side by 18.<BR>\n" );
document.write( "9=N ANSWER 1: The original units digit was 9<BR>\n" );
document.write( "T=13-n=13-9=4 ANSWER 2:The original tens digit was 4<BR>\n" );
document.write( "ANSWER The two digit number is 49<BR>\n" );
document.write( "CHECK:<BR>\n" );
document.write( "49=94-45<BR>\n" );
document.write( "49=49\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );