document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=664172>Question 664172</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solving Problems involving Inequalities\r<BR>\n" );
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document.write( "The sum of two consecutive even integers is at most 180. Find the pair of integers with the greatest sum. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #413173 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10552)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=413173\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solving Problems involving Inequalities\r<BR>\n" );
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document.write( "The sum of two consecutive even integers is at most 180. Find the pair of integers with the greatest sum.\r<BR>\n" );
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document.write( "Let the smaller of the two integers be S\r<BR>\n" );
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document.write( "Then larger = S + 2\r<BR>\n" );
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document.write( "We now have: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S+%2B+S+%2B+2+%3C=+180 ALIGN=MIDDLE  ALT=\"S+%2B+S+%2B+2+%3C=+180\"   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=2S+%2B+2+%3C=+180 ALIGN=MIDDLE  ALT=\"2S+%2B+2+%3C=+180\"   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=2S+%3C+=+180+-+2 ALIGN=MIDDLE  ALT=\"2S+%3C+=+180+-+2\"   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=2S+%3C=+178 ALIGN=MIDDLE  ALT=\"2S+%3C=+178\"   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=S+%3C=+178%2F2 ALIGN=MIDDLE  ALT=\"S+%3C=+178%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S+%3C=+89 ALIGN=MIDDLE  ALT=\"S+%3C=+89\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now, since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S+%3C=+89 ALIGN=MIDDLE  ALT=\"S+%3C=+89\"   DISABLED_style= \"max-width:90%; height:auto;\" >, S CANNOT be 89 since we're looking for two EVEN integers. Therefore, the largest EVEN integer < 89 is 88, which makes the larger EVEN integer, 90.\r<BR>\n" );
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document.write( "Pair of EVEN integers with greatest sum = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%2888_and_90%29 ALIGN=MIDDLE  ALT=\"highlight_green%2888_and_90%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which results in a sum of 178.\r<BR>\n" );
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document.write( "Send comments and “thank-yous” to “D” at MathMadEzy@aol.com  </SPAN>\n" );
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