document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=68268>Question 68268</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/093979862x/algebrahomeworkh>An Incremental Development</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> The sum of the digits of a two-digit counting number was 9. When the digits were reversed, the new number was 45 less than the original number. What was 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 #48561 by </B><A HREF=/tutors/aboutme.mpl?userid=Nate><B>Nate(3500)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Nate><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=48561\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two Digit Number: 10a + b<BR>\n" );
document.write( "a + b = 9 or a = 9 - b<BR>\n" );
document.write( "10b + a = 10a + b - 45<BR>\n" );
document.write( "Plug:<BR>\n" );
document.write( "10b + 9 - b = 10(9 - b) + b - 45<BR>\n" );
document.write( "9b + 9 = 90 - 10b + b - 45<BR>\n" );
document.write( "9b + 9 = 45 - 9b<BR>\n" );
document.write( "18b = 36<BR>\n" );
document.write( "b = 2<BR>\n" );
document.write( "a = 7<BR>\n" );
document.write( "Number: 72 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );