document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1147211>Question 1147211</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Sherlock made an elaborate code to remember the 10-digit combination to his locker.  This is the code he came up with:\r<BR>\n" );
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document.write( "A - K - B - J - C - H - D - G - E - F\r<BR>\n" );
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document.write( "Each letter stands for a different single digit number, from 0-9.\r<BR>\n" );
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document.write( "To find the combination, study the clues below to figure out what digit is represented by each letter.  When two letters are written together without an operation symbol, they represent a tens digit and a ones digit.\r<BR>\n" );
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document.write( "D + D + D = F<BR>\n" );
document.write( "H + H = B<BR>\n" );
document.write( "G + B +E = F + A +C<BR>\n" );
document.write( "J + A = CC<BR>\n" );
document.write( "F x D = KG (x means multiplied by)<BR>\n" );
document.write( "B / H = K (/ means divided by)<BR>\n" );
document.write( "D x H = CK<BR>\n" );
document.write( "A x H = KE<BR>\n" );
document.write( "J / D = K<BR>\n" );
document.write( "D      H (this is fractions, D over J and H over B)<BR>\n" );
document.write( "-   =  -<BR>\n" );
document.write( "J       B\r<BR>\n" );
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document.write( "What is the 10 digit combination to Sherlock's locker? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #768566 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=768566\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Given:\r<BR>\n" );
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document.write( "1.  D + D + D = F<BR>\n" );
document.write( "2.  H + H = B<BR>\n" );
document.write( "3.  G + B +E = F + A +C<BR>\n" );
document.write( "4,  J + A = CC<BR>\n" );
document.write( "5.  F x D = KG<BR>\n" );
document.write( "6.  B / H = K <BR>\n" );
document.write( "7.  D x H = CK<BR>\n" );
document.write( "8.  A x H = KE<BR>\n" );
document.write( "9.  J / D = K<BR>\n" );
document.write( "10. D/J = H/B<br><BR>\n" );
document.write( "Analysis…<br><BR>\n" );
document.write( "From 4, C is 1<br><BR>\n" );
document.write( "From all the given information together, E and G are the only possible letters for 0.<BR>\n" );
document.write( "If G is 0, then 5 tells us either D or F is 5; but 1 tells us neither D nor F can be 5.<BR>\n" );
document.write( "So G is not 0; therefore E is 0.<br><BR>\n" );
document.write( "Since E is 0, 8 tells us either A or H is 5.<BR>\n" );
document.write( "But 10 tells us H can’t be 5.<BR>\n" );
document.write( "So A is 5.<br><BR>\n" );
document.write( "Then 4 tells us J is 6.<br><BR>\n" );
document.write( "Then, since J is 6, 9 tells us D and K are, in some order, 2 and 3.<BR>\n" );
document.write( "But D can’t be 2, because 1 would make F 6, but J is 6.<BR>\n" );
document.write( "So D is 3; and so K is 2.<br><BR>\n" );
document.write( "Then 1 tells us F is 9.<br><BR>\n" );
document.write( "Then 5 tells us G is 7.<br><BR>\n" );
document.write( "8 tells us H is 4.<br><BR>\n" );
document.write( "6 tells us B is 8.<br><BR>\n" );
document.write( "His code is<br><BR>\n" );
document.write( "A - K - B - J - C - H - D - G - E - F = 5286143709<BR>\n" );
document.write( " </SPAN>\n" );
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