document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=121888>Question 121888</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0395352495/algebrahomeworkh>algebra: structure and Method: book 1</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\">  The sum of two numbers is 40. If twice the larger number is divided by the smaller, the quotient is 3 and the reminder is 10. Find the number. I NEED HELP. PLEASE!!!! The answer is 26 or 14, but I do not know how to get there. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #89480 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=89480\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let one of the numbers be n and the other m.\r<BR>\n" );
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document.write( "The sum of two numbers is 40, so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%2Bm=40 ALIGN=MIDDLE  ALT=\"n%2Bm=40\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Let n be the larger number, so twice the larger number is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2n ALIGN=MIDDLE  ALT=\"2n\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and twice the larger divided by the smaller is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2n%2Fm ALIGN=MIDDLE  ALT=\"2n%2Fm\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "The quotient is 3 and the remainder 10 when m is the divisor means <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2B10%2Fm ALIGN=MIDDLE  ALT=\"3%2B10%2Fm\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now we have a second equation:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2n%2Fm=3%2B10%2Fm ALIGN=MIDDLE  ALT=\"2n%2Fm=3%2B10%2Fm\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Solve the first equation for n by subtracting m from both sides:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=40-m ALIGN=MIDDLE  ALT=\"n=40-m\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Substitute this expression for n into the first equation:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cartoon%282red%28n%29%2Fm=3%2B10%2Fm%2C2%2Ared%28%2840-m%29%29%2Fm=3%2B10%2Fm%29 ALIGN=MIDDLE  ALT=\"cartoon%282red%28n%29%2Fm=3%2B10%2Fm%2C2%2Ared%28%2840-m%29%29%2Fm=3%2B10%2Fm%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Multiply both sides by m:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2840-m%29=3m%2B10 ALIGN=MIDDLE  ALT=\"2%2840-m%29=3m%2B10\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Distribute the 2\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=80-2m=3m%2B10 ALIGN=MIDDLE  ALT=\"80-2m=3m%2B10\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Add -80 and -3m to both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2m-3m=10-80 ALIGN=MIDDLE  ALT=\"-2m-3m=10-80\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Collect like terms:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5m=-70 ALIGN=MIDDLE  ALT=\"-5m=-70\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Divide by -5\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=14 ALIGN=MIDDLE  ALT=\"m=14\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Substitute your value for m into the first equation:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cartoon%28n%2Bred%28m%29=40%2Cn%2Bred%2814%29=40%29 ALIGN=MIDDLE  ALT=\"cartoon%28n%2Bred%28m%29=40%2Cn%2Bred%2814%29=40%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=26 ALIGN=MIDDLE  ALT=\"n=26\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the smaller number is 14 and the larger number is 26. </SPAN>\n" );
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