document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1164864>Question 1164864</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello. I am stuck with this question and have no idea how to start it. Here it is:<BR>\n" );
document.write( "A palindromic number is one which reads the same backwards as forwards.<BR>\n" );
document.write( "(a) Find a three-digit palindromic number which is exactly 19 times the<BR>\n" );
document.write( "sum of its digits.<BR>\n" );
document.write( "(b) Find all four-digit palindromic numbers which are exactly 352 times<BR>\n" );
document.write( "the sum of their digits.<BR>\n" );
document.write( "Thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #789294 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=789294\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A palindromic number is one which reads the same backwards as forwards.<BR>\n" );
document.write( "(a) Find a three-digit palindromic number which is exactly 19 times the<BR>\n" );
document.write( "sum of its digits.<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "It's a multiple of 19, and > 100.<BR>\n" );
document.write( "Just find it by trying all multiples of 19.<BR>\n" );
document.write( "---<BR>\n" );
document.write( "114, 133, 152, etc.<BR>\n" );
document.write( "===================<BR>\n" );
document.write( "(b) Find all four-digit palindromic numbers which are exactly 352 times<BR>\n" );
document.write( "the sum of their digits.<BR>\n" );
document.write( "It's a multiple of 352, and > 1000.<BR>\n" );
document.write( "1056, 1408, 1760, etc<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );