document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1020228>Question 1020228</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The mode of the positive intergers 3,5,8,10,18,X,Y is 8, and their mean is Y. Find the values of X and Y. <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #636129 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=636129\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Based on the given information, we have \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2B5%2B8%2B10%2B18%2Bx%2By%29%2F7+=+y ALIGN=MIDDLE  ALT=\"%283%2B5%2B8%2B10%2B18%2Bx%2By%29%2F7+=+y\"   DISABLED_style= \"max-width:90%; height:auto;\" >, since y is the mean of the seven positive integers.\r<BR>\n" );
document.write( "\n" );
document.write( "<==><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=44%2Bx%2By+=+7y ALIGN=MIDDLE  ALT=\"44%2Bx%2By+=+7y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "==> 44 + x  = 6y\r<BR>\n" );
document.write( "\n" );
document.write( "Now since 8 is the mode , and the known values of the data are distinct, either x or y is equal to 8.<BR>\n" );
document.write( "If we let x = 8, then the corresponding value of y is 26/3, which is not acceptable.<BR>\n" );
document.write( "Hence <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y+=+8%29 ALIGN=MIDDLE  ALT=\"highlight%28y+=+8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and 44 + x = 48 ==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x+=+4%29 ALIGN=MIDDLE  ALT=\"highlight%28x+=+4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );