document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=534001>Question 534001</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find a six-digit number containing no zeros and no repeted digits in which the first digit is four more than the sixth digit, and the fourth and fith digit when read as a single number equal the product of the first and sixths digits.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #351249 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=351249\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find a six-digit number containing no zeros and no repeated digits<BR>\n" );
document.write( "a,b,c,d,e,f <BR>\n" );
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document.write( "I don't think there is enough information here to get a single solution.<BR>\n" );
document.write( " We need some clue for b and c<BR>\n" );
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document.write( "in which the first digit is four more than the sixth digit,<BR>\n" );
document.write( "a = f+4<BR>\n" );
document.write( "Then a possible values: 5, 6, 7, 8, 9<BR>\n" );
document.write( "then f:<BR>\n" );
document.write( "has corresponding values 1, 2, 3, 4, 5<BR>\n" );
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document.write( "the fourth and fifth digits, when read as a single number, equal the product of the first and sixth digits. <BR>\n" );
document.write( "10d + e = a*f<BR>\n" );
document.write( "replace a with (f+4)<BR>\n" );
document.write( "10d + e = f(f+4)<BR>\n" );
document.write( "10d + e = f^2 + 4f<BR>\n" );
document.write( "then try<BR>\n" );
document.write( "f=5: 25+20 = 45, excluded because of repeated digit,5.<BR>\n" );
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document.write( "f=4: 16+16 = 32, this may work<BR>\n" );
document.write( "8_ _ 3 2 4, choose the other digit from 1,5,6,7,9<BR>\n" );
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document.write( "f=3: 9+12 = 21, try this one<BR>\n" );
document.write( "7 _ _ 2 1 3, choose the other digits from 4,5,6,8,9<BR>\n" );
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document.write( "f=2: 4+8 = 12, excluded because of repeated digit, 2<BR>\n" );
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document.write( "f=1: 1+5 = 5, excluded because we need two digits, no zero allowed<BR>\n" );
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document.write( "I think that is about all we can do with it\r<BR>\n" );
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