document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=704957>Question 704957</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can you please help figure out this word problem? I don't understand how to write the equation to figure the problem out.  \r<BR>\n" );
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document.write( "The sum of two digits is 66. If the smaller number is subtracted from two thirds of the larger number, the result is one-third the positive difference of the original number. Find the numbers. \r<BR>\n" );
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document.write( "my work:   x=1st number<BR>\n" );
document.write( "           y=2nd number       x+y=66  _____________? I dont understand how to do the next equation. \r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #434375 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=434375\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "The sum of two digits is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=66 ALIGN=MIDDLE  ALT=\"66\"   DISABLED_style= \"max-width:90%; height:auto;\" >. If the smaller number is subtracted from two thirds of the larger number, the result is one-third the positive difference of the original number. \r<BR>\n" );
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document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > is 1st number, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" > 2nd number,you are given that       \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By=66 ALIGN=MIDDLE  ALT=\"x%2By=66\"   DISABLED_style= \"max-width:90%; height:auto;\" >.........eq.1\r<BR>\n" );
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document.write( "If the smaller number (let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > be smaller number)  is subtracted from two thirds of the larger number (let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" > be larger number), the result is one-third the positive difference (which is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-x ALIGN=MIDDLE  ALT=\"y-x\"   DISABLED_style= \"max-width:90%; height:auto;\" >) of the original number.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2F3%29y-x=%281%2F3%29%28y-x%29.......eq.2+%0D%0A%0D%0A%0D%0Asolve+the+system%3A%0D%0A%0D%0A%0D%0A%7B%7B%7Bx%2By=66 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >.........eq.1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2F3%29y-x=%281%2F3%29%28y-x%29.......eq.2+%0D%0A__________________________________%0D%0A%0D%0A%7B%7B%7Bx%2By=66 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >.........eq.1..solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   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=x=66-y ALIGN=MIDDLE  ALT=\"x=66-y\"   DISABLED_style= \"max-width:90%; height:auto;\" >.......substitute in eq.2\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2F3%29y-%2866-y%29=%281%2F3%29%28y-%2866-y%29%29+ ALIGN=MIDDLE  ALT=\"%282%2F3%29y-%2866-y%29=%281%2F3%29%28y-%2866-y%29%29+\"   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=%282%2F3%29y-66%2By=%281%2F3%29%28y-66%2By%29%29 ALIGN=MIDDLE  ALT=\"%282%2F3%29y-66%2By=%281%2F3%29%28y-66%2By%29%29\"   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=2y%2F3-66%2By=y%2F3-66%2F3%2By%2F3 ALIGN=MIDDLE  ALT=\"2y%2F3-66%2By=y%2F3-66%2F3%2By%2F3\"   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=2y%2F3-66%2By=2y%2F3-22 ALIGN=MIDDLE  ALT=\"2y%2F3-66%2By=2y%2F3-22\"   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=cross%282y%2F3%29-66%2By=cross%282y%2F3%29-22 ALIGN=MIDDLE  ALT=\"cross%282y%2F3%29-66%2By=cross%282y%2F3%29-22\"   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=-66%2By=-22 ALIGN=MIDDLE  ALT=\"-66%2By=-22\"   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=y=-22%2B66 ALIGN=MIDDLE  ALT=\"y=-22%2B66\"   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=highlight%28y=44%29 ALIGN=MIDDLE  ALT=\"highlight%28y=44%29\"   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=x=66-y ALIGN=MIDDLE  ALT=\"x=66-y\"   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=x=66-44 ALIGN=MIDDLE  ALT=\"x=66-44\"   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=highlight%28x=22%29 ALIGN=MIDDLE  ALT=\"highlight%28x=22%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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