document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=427278>Question 427278</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The average age of 8 men is increased by 2 years when two of them whose ages are 21 years and 23 years are replaced by two new men. The average age of the two new men is- </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #297134 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=297134\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sum%28x%5Bi%5D%2C+i+=+1%2C+8%29%29%2F8+=+x ALIGN=MIDDLE  ALT=\"%28sum%28x%5Bi%5D%2C+i+=+1%2C+8%29%29%2F8+=+x\"   DISABLED_style= \"max-width:90%; height:auto;\" > be the average age of the original 8 men.<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=alpha ALIGN=MIDDLE  ALT=\"alpha\"   DISABLED_style= \"max-width:90%; height:auto;\" > = average age of the two new men.<BR>\n" );
document.write( "<==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sum%28x%5Bi%5D%2C+i+=+1%2C+6%29+%2B+21%2B+23%29%2F8+=+x ALIGN=MIDDLE  ALT=\"%28sum%28x%5Bi%5D%2C+i+=+1%2C+6%29+%2B+21%2B+23%29%2F8+=+x\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sum%28x%5Bi%5D%2C+i+=+1%2C+6%29+%2B2alpha+%2B+44+-+2alpha%29%2F8+=+x ALIGN=MIDDLE  ALT=\"%28sum%28x%5Bi%5D%2C+i+=+1%2C+6%29+%2B2alpha+%2B+44+-+2alpha%29%2F8+=+x\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sum%28x%5Bi%5D%2C+i+=+1%2C+6%29+%2B2alpha%29%2F8+%2B+%2844+-+2alpha%29%2F8+=+x ALIGN=MIDDLE  ALT=\"%28sum%28x%5Bi%5D%2C+i+=+1%2C+6%29+%2B2alpha%29%2F8+%2B+%2844+-+2alpha%29%2F8+=+x\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%2B2+%2B+%2844+-+2alpha%29%2F8+=+x ALIGN=MIDDLE  ALT=\"+x%2B2+%2B+%2844+-+2alpha%29%2F8+=+x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2+%2B+%2844+-+2alpha%29%2F8+=+0 ALIGN=MIDDLE  ALT=\"2+%2B+%2844+-+2alpha%29%2F8+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Solving for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=alpha ALIGN=MIDDLE  ALT=\"alpha\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=alpha+=+30 ALIGN=MIDDLE  ALT=\"alpha+=+30\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the average age of the two new men. </SPAN>\n" );
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