document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=847207>Question 847207</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I think of a number A.\r<BR>\n" );
document.write( "\n" );
document.write( "When A is divided by 3, I get B. <BR>\n" );
document.write( "When 40 is added to B, I get C. \r<BR>\n" );
document.write( "\n" );
document.write( "When C is multiplied by 2, I am left with a number D, which is less than 100. \r<BR>\n" );
document.write( "\n" );
document.write( "What is A? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #510262 by </B><A HREF=/tutors/aboutme.mpl?userid=swincher4391><B>swincher4391(1107)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=swincher4391><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=swincher4391><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=510262\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A/3 = B  <BR>\n" );
document.write( "B + 40 = C    ->   A/3  + 40 = C<BR>\n" );
document.write( "C * 2 = D    (which is less than 100) ->  (A/3 + 40)*2 = D (which is less than 100)\r<BR>\n" );
document.write( "\n" );
document.write( "2/3 A + 80 < 100\r<BR>\n" );
document.write( "\n" );
document.write( "2/3 * A < 20\r<BR>\n" );
document.write( "\n" );
document.write( "A < 30\r<BR>\n" );
document.write( "\n" );
document.write( "Assuming that A,B,C,and D are all integers, A can be any multiple of 3 less than  27. Even negative integers theoretically work. There is not a unique solution but any number following that form will work. If being an integer is not a requirement (you may want to check), then the only requisite is that A<30.  Even 29.9999 works.\r<BR>\n" );
document.write( "\n" );
document.write( "Tests theory:\r<BR>\n" );
document.write( "\n" );
document.write( "Say A = 6.\r<BR>\n" );
document.write( "\n" );
document.write( "A=6<BR>\n" );
document.write( "B=2<BR>\n" );
document.write( "C=42<BR>\n" );
document.write( "D=84<100\r<BR>\n" );
document.write( "\n" );
document.write( "Say A = -15\r<BR>\n" );
document.write( "\n" );
document.write( "A = -15<BR>\n" );
document.write( "B = -5<BR>\n" );
document.write( "C = 35<BR>\n" );
document.write( "D = 70 < 100\r<BR>\n" );
document.write( "\n" );
document.write( "etc.\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );