document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=461963>Question 461963</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A boy forgot his PIN CODE which is composed of 5 digits, but luckily he remembered some hints how to remember the password. Here are those clues.\r<BR>\n" );
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document.write( "1. First digit is equal to the square of the second digit.<BR>\n" );
document.write( "2. Second plus the third is equal to 10.<BR>\n" );
document.write( "3. Fourth digit is equal to second plus 1.<BR>\n" );
document.write( "4. Fifth plus third digit make 14; and<BR>\n" );
document.write( "5. Sum of all the five digits of the PIN is 30.\r<BR>\n" );
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document.write( "What now is the pin code? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #316739 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=316739\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. First digit is equal to the square of the second digit.<BR>\n" );
document.write( "2. Second plus the third is equal to 10.<BR>\n" );
document.write( "3. Fourth digit is equal to second plus 1.<BR>\n" );
document.write( "4. Fifth plus third digit make 14; and<BR>\n" );
document.write( "5. Sum of all the five digits of the PIN is 30. <BR>\n" );
document.write( "What now is the pin code?<BR>\n" );
document.write( "---------------------------------------<BR>\n" );
document.write( "Equations:<BR>\n" );
document.write( "f = s^2<BR>\n" );
document.write( "s + d = 10<BR>\n" );
document.write( "t = s+1<BR>\n" );
document.write( "h + d = 14<BR>\n" );
document.write( "f + s + d + t + h = 30<BR>\n" );
document.write( "----<BR>\n" );
document.write( "s^2 + s + (10-s) + (s+1) + (14-(10-s)) = 30<BR>\n" );
document.write( "---<BR>\n" );
document.write( "s^2 +2s +15 = 30<BR>\n" );
document.write( "s^2 + 2s - 15 = 0<BR>\n" );
document.write( "Factor:<BR>\n" );
document.write( "(s-5)(s+3) = 0<BR>\n" );
document.write( "Positive solution:<BR>\n" );
document.write( "s = 5<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "first = 25 (note: that is not a single digit)<BR>\n" );
document.write( "second = 5<BR>\n" );
document.write( "third = 10-s = 5<BR>\n" );
document.write( "fourth = 6<BR>\n" );
document.write( "fifth = 9<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" );