document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=735609>Question 735609</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the five digit number in which the first digit is one more than the second, the last is four fewer than the first, the second is more than the last, and the fourth is one more than the last? The sum of all the digits is 35. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #449519 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=449519\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The five digits: a, b, c, d, e<BR>\n" );
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document.write( "Write an equation for each statement:<BR>\n" );
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document.write( "\" the first digit is one more than the second,<BR>\n" );
document.write( "a = b+1<BR>\n" );
document.write( "or<BR>\n" );
document.write( "b = a-1<BR>\n" );
document.write( ":<BR>\n" );
document.write( "\" the last is four fewer than the first,<BR>\n" );
document.write( "e = a-4<BR>\n" );
document.write( ":<BR>\n" );
document.write( "\" the second is more than the last,\"<BR>\n" );
document.write( "b > e<BR>\n" );
document.write( ":<BR>\n" );
document.write( "\" the fourth is one more than the last?\"<BR>\n" );
document.write( "d = e+1<BR>\n" );
document.write( "replace e with (a-4)<BR>\n" );
document.write( "d = (a-4) + 1<BR>\n" );
document.write( "d = a-3<BR>\n" );
document.write( ":<BR>\n" );
document.write( "\" The sum of all the digits is 35.\"<BR>\n" );
document.write( "a + b + c + d + e = 35<BR>\n" );
document.write( "replace b with (a-1), replace e with (a-4); replace d with (a-3)<BR>\n" );
document.write( "a + (a-1) + c + (a-3) + (a-4) = 35<BR>\n" );
document.write( "combine like terms<BR>\n" );
document.write( "4a + c - 8 = 35<BR>\n" );
document.write( "4a + c = 35 + 8<BR>\n" );
document.write( "4a + c = 43<BR>\n" );
document.write( "c = -4a + 43<BR>\n" );
document.write( "The only single digit integer solution is when a = 9, then c = 7<BR>\n" );
document.write( "b = 9-1<BR>\n" );
document.write( "b = 8<BR>\n" );
document.write( "and<BR>\n" );
document.write( "d = 9-3<BR>\n" );
document.write( "d = 6<BR>\n" );
document.write( "and<BR>\n" );
document.write( "e = 9-4<BR>\n" );
document.write( "e = 5<BR>\n" );
document.write( "the  five digit number: 98765<BR>\n" );
document.write( ";<BR>\n" );
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document.write( "See if that adds up<BR>\n" );
document.write( "9 + 8 + 7 + 6 + 5 = 35\r<BR>\n" );
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document.write( " </SPAN>\n" );
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