document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=827785>Question 827785</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what is the greatest of 5 consecutive even integers if the sum of these integers equals 120?\r<BR>\n" );
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document.write( "i don't really understand what the question is akin me and i don't know how to do it <BR>\n" );
document.write( "this is our sat problem of the week and owe haven't learned this yet \r<BR>\n" );
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document.write( "thanks you! :) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #498921 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5347)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=498921\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> WITH PENCIL AND PAPER (SLOW):<BR>\n" );
document.write( "If I was going to use pencil and paper, I would start by assigning a variable name or an expression to one of those integers.<BR>\n" );
document.write( "An even integer can be called <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n ALIGN=MIDDLE  ALT=\"n\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2n ALIGN=MIDDLE  ALT=\"2n\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "IF you start with<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2n ALIGN=MIDDLE  ALT=\"2n\"   DISABLED_style= \"max-width:90%; height:auto;\" >= the greatest of the 5 consecutive even integers, the other even integers are<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2n-2 ALIGN=MIDDLE  ALT=\"2n-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > , <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2n-4 ALIGN=MIDDLE  ALT=\"2n-4\"   DISABLED_style= \"max-width:90%; height:auto;\" > , <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2n-6 ALIGN=MIDDLE  ALT=\"2n-6\"   DISABLED_style= \"max-width:90%; height:auto;\" > , and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2n-8 ALIGN=MIDDLE  ALT=\"2n-8\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "The sum of those 5 consecutive even integers is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2n%2B%282n-2%29%2B%282n-4%29%2B%282n-6%29%2B%282n-8%29=120 ALIGN=MIDDLE  ALT=\"2n%2B%282n-2%29%2B%282n-4%29%2B%282n-6%29%2B%282n-8%29=120\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Solving:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2n%2B%282n-2%29%2B%282n-4%29%2B%282n-6%29%2B%282n-8%29=120 ALIGN=MIDDLE  ALT=\"2n%2B%282n-2%29%2B%282n-4%29%2B%282n-6%29%2B%282n-8%29=120\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2n%2B2n-2%2B2n-4%2B2n-6%2B2n-8=120 ALIGN=MIDDLE  ALT=\"2n%2B2n-2%2B2n-4%2B2n-6%2B2n-8=120\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2n%2B2n%2B2n%2B2n%2B2n=120%2B2%2B4%2B6%2B8 ALIGN=MIDDLE  ALT=\"2n%2B2n%2B2n%2B2n%2B2n=120%2B2%2B4%2B6%2B8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10n=140 ALIGN=MIDDLE  ALT=\"10n=140\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=140%2F10 ALIGN=MIDDLE  ALT=\"n=140%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=14 ALIGN=MIDDLE  ALT=\"n=14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2n=2%2A14 ALIGN=MIDDLE  ALT=\"2n=2%2A14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%282n=28%29 ALIGN=MIDDLE  ALT=\"highlight%282n=28%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "FASTER MENTAL MATH:<BR>\n" );
document.write( "(I can think my way to the solution fast, but explaining it takes time).<BR>\n" );
document.write( "I know that consecutive integers are evenly spaced.<BR>\n" );
document.write( "(Each one is 2 more than the one before; they are an arithmetic sequence).<BR>\n" );
document.write( "For an arithmetic sequence, if I have 5 of the terms (or 7 of them, or 9, or any odd number of them), the middle term is the average and the median.<BR>\n" );
document.write( "So the sum of 5 consecutive even integers is 5 times the middle integer (the third integer).<BR>\n" );
document.write( "So 5 times that integer is 120, meaning that the middle integer is 24, and the next to even integers are 26 and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%2828%29 ALIGN=MIDDLE  ALT=\"highlight%2828%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "The greatest of the 5 even integers is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%2828%29 ALIGN=MIDDLE  ALT=\"highlight%2828%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > . </SPAN>\n" );
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