document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=316533>Question 316533</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the sum of two consecutive integers is 181 Find the smaller integer. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #226489 by </B><A HREF=/tutors/aboutme.mpl?userid=moshiz08><B>moshiz08(60)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=moshiz08><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=moshiz08><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=226489\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Consecutive integers are integers that follow each other in order. For example, 17 and 18 are consecutive integers. Also, 28 and 29 are consecutive integers. \r<BR>\n" );
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document.write( "In general, if we have an integer <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then the consecutive integer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B1 ALIGN=MIDDLE  ALT=\"x%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" >. In the example given earlier, when <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+17 ALIGN=MIDDLE  ALT=\"x+=+17\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we get the consecutive integer <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B1+=+17%2B1+=+18 ALIGN=MIDDLE  ALT=\"x%2B1+=+17%2B1+=+18\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Verify that the example <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=28 ALIGN=MIDDLE  ALT=\"x=28\"   DISABLED_style= \"max-width:90%; height:auto;\" > produces the consecutive integer of 29. \r<BR>\n" );
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document.write( "Now if we take an integer <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > and add its consecutive integer <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B1 ALIGN=MIDDLE  ALT=\"x%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we should get 181. \r<BR>\n" );
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document.write( "That is, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x%29+%2B+%28x%2B1%29+=+181 ALIGN=MIDDLE  ALT=\"+%28x%29+%2B+%28x%2B1%29+=+181\"   DISABLED_style= \"max-width:90%; height:auto;\" >. \r<BR>\n" );
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document.write( "Combining like terms gives <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x+%2B+1+=+181 ALIGN=MIDDLE  ALT=\"+2x+%2B+1+=+181\"   DISABLED_style= \"max-width:90%; height:auto;\" >. \r<BR>\n" );
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document.write( "Subtract 1 from both sides to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x+=+181-1+=+180+ ALIGN=MIDDLE  ALT=\"+2x+=+181-1+=+180+\"   DISABLED_style= \"max-width:90%; height:auto;\" >. \r<BR>\n" );
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document.write( "Now divide both sides by 2 to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+180+%2F+2+=+90+ ALIGN=MIDDLE  ALT=\"+x+=+180+%2F+2+=+90+\"   DISABLED_style= \"max-width:90%; height:auto;\" >. \r<BR>\n" );
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document.write( "So our integer <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+90 ALIGN=MIDDLE  ALT=\"x+=+90\"   DISABLED_style= \"max-width:90%; height:auto;\" > and the consecutive integer <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2B+1+=+91+ ALIGN=MIDDLE  ALT=\"x+%2B+1+=+91+\"   DISABLED_style= \"max-width:90%; height:auto;\" >. The smaller integer is 90.  </SPAN>\n" );
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