document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=475372>Question 475372</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the average of ten diffrent positive integers is 10.the smallest is 5.find the biggest possible number among these ten integers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #326165 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=326165\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If the smallest member of the set is 5, <BR>\n" );
document.write( "then the sum of the other 9 integers must be 95. <BR>\n" );
document.write( "Now if we let the smallest integer among these 9 integers be 6,<BR>\n" );
document.write( "consider the sum of the consecutive integers\r<BR>\n" );
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document.write( "6 + 7 + 8 + 9 + 10 + 11 + 12 + 13 + 14 = 90.\r<BR>\n" );
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document.write( "To get a total of 95 we need to distribute 5 to some of the terms in the sum.<BR>\n" );
document.write( "We can just add the 5 to 14, getting 19 as the biggest possible number among the ten integers.<BR>\n" );
document.write( "Note that if we assume 7(or any higher integer) <BR>\n" );
document.write( "as the smallest of the nine remaining integers, <BR>\n" );
document.write( "then the sum of the consecutive integers would be greater than 95. </SPAN>\n" );
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