document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=760084>Question 760084</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The greatest number that always divides the difference between a three digit number and the number formed by reversing its digits is? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #462418 by </B><A HREF=/tutors/aboutme.mpl?userid=DrBeeee><B>DrBeeee(684)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=DrBeeee><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=462418\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let A = the number be abc<BR>\n" );
document.write( "Let B = the reverse cba<BR>\n" );
document.write( "Now write he value of each number<BR>\n" );
document.write( "(1) A = 100*a + 10*b + c and<BR>\n" );
document.write( "(2) B = 100*c + 10*b + a <BR>\n" );
document.write( "Now get the differnce, D,<BR>\n" );
document.write( "(3) D = 100*a + 10*b + c - 100*c - 10*b - a or<BR>\n" );
document.write( "(4) D = 100*(a - c) + (c - a) or<BR>\n" );
document.write( "(5) D = 100*(a - c) - (a - c) or<BR>\n" );
document.write( "(6) D = 99*(a - c)<BR>\n" );
document.write( "Answer: The greatest number that divides the difference of a 3 digit number and its reverse is 99.<BR>\n" );
document.write( "Try it on 764 - 467 = 297 = 99*3<BR>\n" );
document.write( "or 321 - 123 = 198 = 99*2 or .... </SPAN>\n" );
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