document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=769356>Question 769356</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the middle digit of 3 digit number is 8 and the sum of the digits is 18. the difference between the number and the number formed by reversing the digits is 198.find the number. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #468804 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=468804\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the middle digit of 3 digit number is 8 and the sum of the digits is 18. the difference between the number and the number formed by reversing the digits is 198.find the number.<BR>\n" );
document.write( "***<BR>\n" );
document.write( "let u=units digit<BR>\n" );
document.write( "t=tens digit=8<BR>\n" );
document.write( "h=hundreds digit<BR>\n" );
document.write( "..<BR>\n" );
document.write( "u+t+h=18<BR>\n" );
document.write( "u+8+h=18<BR>\n" );
document.write( "u+h=10<BR>\n" );
document.write( "u=10-h<BR>\n" );
document.write( "..<BR>\n" );
document.write( "(100h+80+u)-(100u+80+h)=198<BR>\n" );
document.write( "100h+80+u-100u-80-h=198<BR>\n" );
document.write( "99h-99u=198<BR>\n" );
document.write( "99h-99(10-h)=198<BR>\n" );
document.write( "99h-990+99h=198<BR>\n" );
document.write( "198h=990+198=1188<BR>\n" );
document.write( "h=1188/198=6<BR>\n" );
document.write( "u=10-h=4<BR>\n" );
document.write( "t=8<BR>\n" );
document.write( "number: 684<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );