document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=425899>Question 425899</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the average age of 8 men is increased by 2 years when 2 of them whose ages are 21 years and 23 years are replaced by two new men. the average age of 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 #296406 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=296406\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the average of the original 8 men is equal to x\r<BR>\n" );
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document.write( "this mans that the sum of their ages divided by the number of men = x\r<BR>\n" );
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document.write( "we get S/8 = x\r<BR>\n" );
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document.write( "we know that if we subtract (21 and 23) from the sum, and we add the ages of 2 other men, that the average age now becomes (x+2).\r<BR>\n" );
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document.write( "formula for this would be:\r<BR>\n" );
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document.write( "(S - 44 + y)/8 = (x+2)\r<BR>\n" );
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document.write( "y represents the sum of the ages of the 2 new men.\r<BR>\n" );
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document.write( "we have 2 equations:\r<BR>\n" );
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document.write( "S/8 = x and (S - 44 + y)/8 = (x+2)\r<BR>\n" );
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document.write( "if we multiply both sides of each equation by 8, then we get:\r<BR>\n" );
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document.write( "S = 8*x and S - 44 + y = 8*(x+2)\r<BR>\n" );
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document.write( "Since S = 8*x in the first equation we can susbtitute 8*x for S in the second equation to get:\r<BR>\n" );
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document.write( "8*x - 44 + y = 8*(x+2)\r<BR>\n" );
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document.write( "We simplify this by removing parentheses to get:\r<BR>\n" );
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document.write( "8*x - 44 + y = 8*x + 16\r<BR>\n" );
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document.write( "we subtract 8*x from both sides of the equation and we add 44 to both sides of the equation to get:\r<BR>\n" );
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document.write( "y = 60\r<BR>\n" );
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document.write( "y is the sum of the ages of the 2 new men.\r<BR>\n" );
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document.write( "their average age is 60/2 = 30\r<BR>\n" );
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document.write( "that should be the answer to your question.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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