document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=260211>Question 260211</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of the digits of a two-digit number is 14. If the digits are reversed, the number is 18 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 #191710 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=191710\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Swapping digits in a 2 digit number always gives a difference between the 2 numbers of 9 x the difference between the digits.<BR>\n" );
document.write( "18/9 = 2<BR>\n" );
document.write( "So find 2 numbers whose difference is 2, and whose sum is 14.<BR>\n" );
document.write( "x+y = 14<BR>\n" );
document.write( "x-y = 2<BR>\n" );
document.write( "2x = 16<BR>\n" );
document.write( "x = 8<BR>\n" );
document.write( "y = 6<BR>\n" );
document.write( "--> 86 and 68<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );