document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=944105>Question 944105</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I tried to use similar problems but can't seem to figure this one out. Please provide step by step so I can understand for future :)\r<BR>\n" );
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document.write( "FInd a 6digit # in which the 1st digit is 1 more than the 3rd, the 2nd digit is 1 less than the 4th, the 5th digit is 1 less than the 3rd, and the 6th digit is 1 more than the 4th.  The sum of the 2nd and 3rd digit equals the 1st.  The sum of all digits is 30.  \r<BR>\n" );
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document.write( "adrianna.email@gmail.com    thanks  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #575644 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=575644\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> FInd a 6digit # in which the 1st digit is 1 more than the 3rd, the 2nd digit is 1 less than the 4th, the 5th digit is 1 less than the 3rd, and the 6th digit is 1 more than the 4th. The sum of the 2nd and 3rd digit equals the 1st. The sum of all digits is 30.<BR>\n" );
document.write( "Let the number be abcdef<BR>\n" );
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document.write( "a = c+1<BR>\n" );
document.write( "b = d-1<BR>\n" );
document.write( "e = c-1<BR>\n" );
document.write( "f = d+1<BR>\n" );
document.write( "b + c = a<BR>\n" );
document.write( "a + b + c + d + e + f = 30<BR>\n" );
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document.write( "a-c = 1<BR>\n" );
document.write( "b-d = -1<BR>\n" );
document.write( "c-e = 1<BR>\n" );
document.write( "d-f = -1<BR>\n" );
document.write( "a-b-c = 0<BR>\n" );
document.write( "a + b + c + d + e + f = 30<BR>\n" );
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document.write( "You have 6 equations with 6 unknowns::<BR>\n" );
document.write( "a.....b.....c.....d.....e.....f....#<BR>\n" );
document.write( "1.....0....-1.....0.....0.....0.....1<BR>\n" );
document.write( "0.....1.....0....-1.....0.....0....-1<BR>\n" );
document.write( "0.....0.....1.....0....-1.....0.....1<BR>\n" );
document.write( "0.....0.....0.....1.....0....-1....-1<BR>\n" );
document.write( "1....-1....-1.....0.....0.....0.....0<BR>\n" );
document.write( "1.....1.....1.....1.....1.....1....30\r<BR>\n" );
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document.write( "I used a matrix method on my TI-84 to get:<BR>\n" );
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document.write( "Ans:: 918273<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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