document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=126673>Question 126673</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find three consecutive odd integers whose sum is three times the third integer </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #92801 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=92801\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If the first odd integer is x, the second one would be x + 2, and the third one would be x + 4.\r<BR>\n" );
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document.write( "The sum of the three is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2B+%28x+%2B+2%29+%2B+%28x+%2B+4%29 ALIGN=MIDDLE  ALT=\"x+%2B+%28x+%2B+2%29+%2B+%28x+%2B+4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > but this is equal to 3 times the third odd integer <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%28x%2B4%29 ALIGN=MIDDLE  ALT=\"3%28x%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2B+%28x+%2B+2%29+%2B+%28x+%2B+4%29=3%28x%2B4%29 ALIGN=MIDDLE  ALT=\"x+%2B+%28x+%2B+2%29+%2B+%28x+%2B+4%29=3%28x%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2B6=3x%2B12 ALIGN=MIDDLE  ALT=\"3x%2B6=3x%2B12\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Adding -3x to both sides of the equation leads to the absurdity that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6=12 ALIGN=MIDDLE  ALT=\"6=12\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Therefore, there is no solution to the problem as stated.\r<BR>\n" );
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document.write( "Had the problem said 3 times the SECOND integer we would have achieved the result that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6=6 ALIGN=MIDDLE  ALT=\"6=6\"   DISABLED_style= \"max-width:90%; height:auto;\" > -- true no matter what x is.  Meaning that any three consecutive odd integers would exhibit the property that their sum is equal to 3 times the second integer.  In fact, any three consecutive EVEN integers, or just any three consecutive integers also exhibit the same property. </SPAN>\n" );
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