document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=445631>Question 445631</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find 3 consecutive odd integers whose sum is 43 (Hint: if n represents the smallest of the three integers, n+2 and n+4, represent the other two numbers) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #306958 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=306958\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The sum of 3 consecutive integers, in order, odd, or even, is divisible by 3.<BR>\n" );
document.write( "43 is not, so there's no solution<BR>\n" );
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document.write( "If we pretend we don't know that:<BR>\n" );
document.write( "n + n+2 + n+4 = 43<BR>\n" );
document.write( "3n+6 = 43<BR>\n" );
document.write( "3n = 37<BR>\n" );
document.write( "n = 37/3, not an integer<BR>\n" );
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document.write( "Examples:<BR>\n" );
document.write( "9+11+13 = 33<BR>\n" );
document.write( "23+25+27 = 75<BR>\n" );
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document.write( "20+22+24 = 66<BR>\n" );
document.write( "7+8+9 = 24<BR>\n" );
document.write( "All the sums are divisible by 3<BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );