document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1196099>Question 1196099</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find 5-digit number<BR>\n" );
document.write( "abcde = number<BR>\n" );
document.write( "a=b+2<BR>\n" );
document.write( "b=c+2<BR>\n" );
document.write( "d=2d/2<BR>\n" );
document.write( "e=2d/4<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #828802 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=828802\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The problem as posted has a large number of solutions.  I suspect the information is not shown correctly.<br><BR>\n" );
document.write( "(1) a=b+2 and b=c+2 together mean the first three digits of the number are one of these:<br><BR>\n" );
document.write( "420, 531, 642, 753, 864, or 975<br><BR>\n" );
document.write( "That's 6 choices for the first three digits.<br><BR>\n" );
document.write( "(2) d=2d/2 tells us nothing; e=2d/4=d/2d tells us that d is even.  So d can be any even digit and e is half of d.  So the last two digits are one of these:<br><BR>\n" );
document.write( "00, 21, 42, 63, or 84<br><BR>\n" );
document.write( "That's 5 choices for the last two digits.<br><BR>\n" );
document.write( "With the problem as shown, there are 6*5=30 5-digit numbers that satisfy the given conditions.<br>\r<BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );