document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=356934>Question 356934</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If the 3 digit positive integer n = ABC = AB + BA + AC + CA + BC + CB, compute the largest possible value for n. (Note: A, B, C are single digits from 0 to 9) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #254903 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=254903\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The values of A, B, C are guided by the equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=26A+-+4B+-+7C+=+0 ALIGN=MIDDLE  ALT=\"26A+-+4B+-+7C+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  We only need to consider i) odd values for B and even values for C, and <BR>\n" );
document.write( "ii) even values for B and even values for C.<BR>\n" );
document.write( "Only 3 ordered triples (A, B, C)will satisfy the constraint equation above:<BR>\n" );
document.write( "(2,6,4), (1,3,2), and (3,9, 6).  Therefore the largest n is 396. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );