document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=110493>Question 110493</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find three consecutive odd integers such that twice the second integer increased by six equals the sum of the largest and three time the smallest integer. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #80523 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=80523\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Let us name these three unidentified integers <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z ALIGN=MIDDLE  ALT=\"z\"   DISABLED_style= \"max-width:90%; height:auto;\" >, arbitrarily assuming that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=smallest ALIGN=MIDDLE  ALT=\"smallest\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z ALIGN=MIDDLE  ALT=\"z\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+largest ALIGN=MIDDLE  ALT=\"+largest\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we may write:\r<BR>\n" );
document.write( "\n" );
document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=twice_+the_+second ALIGN=MIDDLE  ALT=\"twice_+the_+second\"   DISABLED_style= \"max-width:90%; height:auto;\" > integer increased by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=six+ ALIGN=MIDDLE  ALT=\"six+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=equals_+the_+sum+ ALIGN=MIDDLE  ALT=\"equals_+the_+sum+\"   DISABLED_style= \"max-width:90%; height:auto;\" >of the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=largest_+and_+three_+time_+the_+smallest ALIGN=MIDDLE  ALT=\"largest_+and_+three_+time_+the_+smallest\"   DISABLED_style= \"max-width:90%; height:auto;\" > integer, we can write:<BR>\n" );
document.write( "	<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2y+%2B+6=+z+%2B+3x ALIGN=MIDDLE  ALT=\"2y+%2B+6=+z+%2B+3x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > is smallest odd number, then\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+x%2B2 ALIGN=MIDDLE  ALT=\"y+=+x%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z+=x%2B4 ALIGN=MIDDLE  ALT=\"z+=x%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now we can substitute it here:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2y+%2B+6=+z+%2B+3x ALIGN=MIDDLE  ALT=\"2y+%2B+6=+z+%2B+3x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2+%28x%2B2%29+%2B+6=+x%2B4+%2B+3x ALIGN=MIDDLE  ALT=\"2+%28x%2B2%29+%2B+6=+x%2B4+%2B+3x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2+x+%2B+4+%2B+6=+x+%2B+4+%2B+3x ALIGN=MIDDLE  ALT=\"2+x+%2B+4+%2B+6=+x+%2B+4+%2B+3x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2+x+%2B+10+=+4x+%2B+4+ ALIGN=MIDDLE  ALT=\"2+x+%2B+10+=+4x+%2B+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" >….move <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x ALIGN=MIDDLE  ALT=\"2x\"   DISABLED_style= \"max-width:90%; height:auto;\" > to the right and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4 ALIGN=MIDDLE  ALT=\"4\"   DISABLED_style= \"max-width:90%; height:auto;\" > to the left\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10++-+4+=+4x+%96+2x+ ALIGN=MIDDLE  ALT=\"+10++-+4+=+4x+%96+2x+\"   DISABLED_style= \"max-width:90%; height:auto;\" >….\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6++=++2x+ ALIGN=MIDDLE  ALT=\"+6++=++2x+\"   DISABLED_style= \"max-width:90%; height:auto;\" >….\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3++=++x+ ALIGN=MIDDLE  ALT=\"+3++=++x+\"   DISABLED_style= \"max-width:90%; height:auto;\" >….\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x++=++3+ ALIGN=MIDDLE  ALT=\"+x++=++3+\"   DISABLED_style= \"max-width:90%; height:auto;\" >…. smallest odd number\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+x%2B2+=+3+%2B+2+=+5 ALIGN=MIDDLE  ALT=\"y+=+x%2B2+=+3+%2B+2+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z+=x%2B4+=+3+%2B+4+=+7 ALIGN=MIDDLE  ALT=\"z+=x%2B4+=+3+%2B+4+=+7\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Check:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2y+%2B+6=+z+%2B+3x ALIGN=MIDDLE  ALT=\"2y+%2B+6=+z+%2B+3x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A5%2B+6=+7+%2B+3%2A3 ALIGN=MIDDLE  ALT=\"2%2A5%2B+6=+7+%2B+3%2A3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2B+6=+7+%2B+9 ALIGN=MIDDLE  ALT=\"10%2B+6=+7+%2B+9\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16=+16 ALIGN=MIDDLE  ALT=\"16=+16\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );