document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=141300>Question 141300</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of the digits of a two-digit number is 8. If the digits are reversed, the number is increased by 54. 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 #102945 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=102945\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the units number be u; the tens be t.<BR>\n" );
document.write( "A) t+u=8<BR>\n" );
document.write( "B) 10u+t=10t+u+54<BR>\n" );
document.write( ".<BR>\n" );
document.write( "A) u=8-t<BR>\n" );
document.write( "B) <BR>\n" );
document.write( "10(8-t)+t=10t+8-t+54<BR>\n" );
document.write( "80-10t+t=9t+62<BR>\n" );
document.write( "80-9t=9t+62<BR>\n" );
document.write( "18t=18<BR>\n" );
document.write( "t=1<BR>\n" );
document.write( "u=7<BR>\n" );
document.write( "The number is 17.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Check:<BR>\n" );
document.write( "71-17=54<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Ed<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );