document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=103837>Question 103837</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of the digits of two- digit numbers is 10. if the digits are reversed, the new number is 54 less than the original 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 #75487 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley75><B>checkley75(3666)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley75><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=75487\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> X+Y=10 OR X=10-Y<BR>\n" );
document.write( "10X+Y=10Y+X-54 NOW REPLACE X IN THIS EQUATION BY (10-Y)<BR>\n" );
document.write( "10(10-Y)+Y=10Y+(10-Y)+54<BR>\n" );
document.write( "100-10Y+Y=10Y+10-Y+54<BR>\n" );
document.write( "100-9Y=9Y+64<BR>\n" );
document.write( "-18Y=-36<BR>\n" );
document.write( "Y=-36/-18<BR>\n" );
document.write( "Y=2 ANSWER FOR THE UNITS DIGIT.<BR>\n" );
document.write( "X=10-2<BR>\n" );
document.write( "X=8 ANSWER FOR THE TENS DIGIT.<BR>\n" );
document.write( "PROOF<BR>\n" );
document.write( "82=28+54<BR>\n" );
document.write( "82=82<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );