document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=189897>Question 189897</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The mean of three numbers is 10, and their median is 10.3.  If the difference between the largest number and the smallest number of the three numbers is 2, what are the three numbers? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #142479 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=142479\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let \r<BR>\n" );
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document.write( "x = smallest #\r<BR>\n" );
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document.write( "y = middle #\r<BR>\n" );
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document.write( "z = largest #\r<BR>\n" );
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document.write( "\"The mean of three numbers is 10\" translates to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2By%2Bz%29%2F3=10 ALIGN=MIDDLE  ALT=\"%28x%2By%2Bz%29%2F3=10\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Since \"their median is 10.3\", and there are 3 numbers, this means that the middle number \"y\" is 10.3 \r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=10.3 ALIGN=MIDDLE  ALT=\"y=10.3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Finally, since \"the difference between the largest number and the smallest number of the three numbers is 2\", this tells us that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z-x=2 ALIGN=MIDDLE  ALT=\"z-x=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z-x=2 ALIGN=MIDDLE  ALT=\"z-x=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the third equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=2%2Bx ALIGN=MIDDLE  ALT=\"z=2%2Bx\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add x to both sides.\r<BR>\n" );
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document.write( "-----------------------------\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2By%2Bz%29%2F3=10 ALIGN=MIDDLE  ALT=\"%28x%2By%2Bz%29%2F3=10\"   DISABLED_style= \"max-width:90%; height:auto;\" > Move back to the first equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B10.3%2B2%2Bx%29%2F3=10 ALIGN=MIDDLE  ALT=\"%28x%2B10.3%2B2%2Bx%29%2F3=10\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=10.3 ALIGN=MIDDLE  ALT=\"y=10.3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=2%2Bx ALIGN=MIDDLE  ALT=\"z=2%2Bx\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%2B12.3%29%2F3=10 ALIGN=MIDDLE  ALT=\"%282x%2B12.3%29%2F3=10\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B12.3=30 ALIGN=MIDDLE  ALT=\"2x%2B12.3=30\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both sides by 3.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x=30-12.3 ALIGN=MIDDLE  ALT=\"2x=30-12.3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 12.3 from both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x=17.7 ALIGN=MIDDLE  ALT=\"2x=17.7\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=8.85 ALIGN=MIDDLE  ALT=\"x=8.85\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 2.\r<BR>\n" );
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document.write( "So the smallest number is 8.85\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=2%2Bx ALIGN=MIDDLE  ALT=\"z=2%2Bx\"   DISABLED_style= \"max-width:90%; height:auto;\" > Go back to the third equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=2%2B8.85 ALIGN=MIDDLE  ALT=\"z=2%2B8.85\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=8.85 ALIGN=MIDDLE  ALT=\"x=8.85\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=10.85 ALIGN=MIDDLE  ALT=\"z=10.85\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add\r<BR>\n" );
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document.write( "So the largest number is 10.85 </SPAN>\n" );
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