document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=444638>Question 444638</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of the digits of a two digit number is 15. If the digits are interchanged, the number is increased by nine. 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 #306445 by </B><A HREF=/tutors/aboutme.mpl?userid=chriswen><B>chriswen(106)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=chriswen><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=306445\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x be the first digit.<BR>\n" );
document.write( "Let 15-x be the second digit.<BR>\n" );
document.write( "...<BR>\n" );
document.write( "10x+(15-x)+9=10(15-x)+x ... the 10's column is worth per digit (10 times).<BR>\n" );
document.write( "9x+24=150-10x+x<BR>\n" );
document.write( "9x+24=150-9x<BR>\n" );
document.write( "9x+9x=150-24<BR>\n" );
document.write( "18x=126<BR>\n" );
document.write( "x=7<BR>\n" );
document.write( "15-x=8<BR>\n" );
document.write( "...<BR>\n" );
document.write( "Therefore, the number is 78. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );