document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=316593>Question 316593</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find a five-digit number in which the first digit equals the sum of the fourth and fifth digits, the second digit equals the sum of the first and third digits, the first digit is one less than the second and the fourth digit is two more than the third. The sum of all the digits is 23. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #226509 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=226509\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find a five-digit number in which the first digit equals the sum of the fourth and fifth digits, the second digit equals the sum of the first and third digits, the first digit is one less than the second and the fourth digit is two more than the third. The sum of all the digits is 23.<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "Let the number be abcde<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "a = d + e<BR>\n" );
document.write( "b = a + c<BR>\n" );
document.write( "a = b -1<BR>\n" );
document.write( "d = c+2<BR>\n" );
document.write( "a + b + c +d + e = 23<BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "Rearrange:<BR>\n" );
document.write( "a + 0 + 0 - d - e = 0<BR>\n" );
document.write( "a - b + c + 0 + 0 = 0<BR>\n" );
document.write( "a - b + 0 + 0 + 0 = -1<BR>\n" );
document.write( "0 + 0 + c - d + 0 = -2<BR>\n" );
document.write( "a + b + c + d + e = 23<BR>\n" );
document.write( "-----------------------------<BR>\n" );
document.write( "I used a calculator to get:<BR>\n" );
document.write( "a = 7<BR>\n" );
document.write( "b = 8<BR>\n" );
document.write( "c = 1<BR>\n" );
document.write( "d = 3<BR>\n" );
document.write( "e = 4<BR>\n" );
document.write( "================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "=================== </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );