document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=714770>Question 714770</A>: <I><SPAN STYLE=\"word-break: break-all;\"> which number between 50 and 60 can be divided into four parts so that if you multiply the first part by 2,add 2 to the second part ,subtract 2 from the third part and divide the fourth part by 2,the result will be the same. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #439140 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=439140\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> It is not clearly specified, but I am sure that the number and its four parts are understood to be integers.<BR>\n" );
document.write( "The person who proposed the problem understands it that way, and we have to understand it too.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w ALIGN=MIDDLE  ALT=\"w\"   DISABLED_style= \"max-width:90%; height:auto;\" > = first part<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > = second part<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" > = third part<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z ALIGN=MIDDLE  ALT=\"z\"   DISABLED_style= \"max-width:90%; height:auto;\" > = fourth part<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2w ALIGN=MIDDLE  ALT=\"2w\"   DISABLED_style= \"max-width:90%; height:auto;\" > = first part multiplied by 2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B2 ALIGN=MIDDLE  ALT=\"x%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 2 added to the second part<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-2 ALIGN=MIDDLE  ALT=\"y-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 2 subtracted from the third part<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z%2F2 ALIGN=MIDDLE  ALT=\"z%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = fourth part divided by 2<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2w=x%2B2=y-2=z%2F2 ALIGN=MIDDLE  ALT=\"2w=x%2B2=y-2=z%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "We can express all four parts as a function of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w ALIGN=MIDDLE  ALT=\"w\"   DISABLED_style= \"max-width:90%; height:auto;\" > :<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2w=x%2B2 ALIGN=MIDDLE  ALT=\"2w=x%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2w-2=x ALIGN=MIDDLE  ALT=\"2w-2=x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2w=y-2 ALIGN=MIDDLE  ALT=\"2w=y-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2w%2B2=y ALIGN=MIDDLE  ALT=\"2w%2B2=y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2w=z%2F2 ALIGN=MIDDLE  ALT=\"2w=z%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4w=z ALIGN=MIDDLE  ALT=\"4w=z\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "The sum of all four parts is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%2Bx%2By%2Bz=N ALIGN=MIDDLE  ALT=\"w%2Bx%2By%2Bz=N\"   DISABLED_style= \"max-width:90%; height:auto;\" > , an integer such that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50%3C=N%3C=60 ALIGN=MIDDLE  ALT=\"50%3C=N%3C=60\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N=w%2B%282w-2%29%2B%282w%2B2%29%2B4w=9w ALIGN=MIDDLE  ALT=\"N=w%2B%282w-2%29%2B%282w%2B2%29%2B4w=9w\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N ALIGN=MIDDLE  ALT=\"N\"   DISABLED_style= \"max-width:90%; height:auto;\" > is a multiple of 9,<BR>\n" );
document.write( "and the only one between 50 and 60 is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%2854%29 ALIGN=MIDDLE  ALT=\"highlight%2854%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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