document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=461933>Question 461933</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if the average of three distinct positive intergers is 4 what is the greatest possible value for one of those integers \r<BR>\n" );
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document.write( "a) 5<BR>\n" );
document.write( "b) 6<BR>\n" );
document.write( "c) 9<BR>\n" );
document.write( "d) 11<BR>\n" );
document.write( "e) 12 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #316706 by </B><A HREF=/tutors/aboutme.mpl?userid=math-vortex><B>math-vortex(648)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math-vortex><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=math-vortex><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=316706\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> if the average of three distinct positive integers is 4 what is the greatest possible value for one of those integers. <BR>\n" );
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document.write( "We are going to use the formula for the average of three numbers and work backwards to find the answer to your question.<BR>\n" );
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document.write( "We find the average of three distinct integers by finding their sum and dividing by three.<BR>\n" );
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document.write( "Since we divide the sum by 3 and get 4 as the average, the sum of the integers must be 12. (12/3 = 4.) Notice how we're working backwards?<BR>\n" );
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document.write( "Now we have three distinct integers that add up to 12. We want to know what is the greatest possible value for one of them. If one integer is going to be as large as possible, the other two must be a small as possible. The two smallest positive integers are 1 and 2.<BR>\n" );
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document.write( "Now we have 1 + 2 + [our mystery integer] = 12.<BR>\n" );
document.write( "1 + 2 = 3, so our mystery integer must be 9. (9 + 3 = 12.)<BR>\n" );
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document.write( "Hope this helps!<BR>\n" );
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document.write( "Ms. Figgy<BR>\n" );
document.write( "math.in.the.vortex </SPAN>\n" );
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