document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=166087>Question 166087</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/1931914419/algebrahomeworkh>Heart of Mathmatics</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> If a natural number is written as the sum of three natural numbers, show that one of the numbers in the sum must be less than or equal to one third of the original natural number. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #122367 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=122367\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> On second thought:<BR>\n" );
document.write( "If the natural number is a multiple of three, it can be written<BR>\n" );
document.write( "as a sum of three numbers, each of which is one-third the original<BR>\n" );
document.write( "number.  If that sum is not used, one of the numbers in the sum <BR>\n" );
document.write( "must be less than one-third the original number.<BR>\n" );
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document.write( "If the natural number is not a multiple of three, at least one<BR>\n" );
document.write( "of the numbers in the sum must be less than one-third the original<BR>\n" );
document.write( "number.<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );