document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=26922>Question 26922</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if one-half of one integer is subtracted from three-fifths of the next consecutive integer the difference is 3.  what are the two integers?<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 #14664 by </B><A HREF=/tutors/aboutme.mpl?userid=mbarugel><B>mbarugel(146)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mbarugel><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=14664\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let's call X to the smalles of the two integers. Since they are consecutive, the integers are X and X+1.\r<BR>\n" );
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document.write( "We have that one-half of the first (the smallest) is subtracted from 3/5 of the second one and the difference is 3. This means that:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2F5%29%28X%2B1%29+-+%281%2F2%29X+=+3 ALIGN=MIDDLE  ALT=\"%283%2F5%29%28X%2B1%29+-+%281%2F2%29X+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "This is\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2F5%29X+%2B+%283%2F5%29+-+%281%2F2%29X+=+3 ALIGN=MIDDLE  ALT=\"%283%2F5%29X+%2B+%283%2F5%29+-+%281%2F2%29X+=+3\"   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=%283%2F5%29X+-+%281%2F2%29X+=+3+-+%283%2F5%29+=+12%2F5 ALIGN=MIDDLE  ALT=\"%283%2F5%29X+-+%281%2F2%29X+=+3+-+%283%2F5%29+=+12%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now let's multiply both sides by 10:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2830%2F5%29X+-+%2810%2F2%29X+=+120%2F5 ALIGN=MIDDLE  ALT=\"%2830%2F5%29X+-+%2810%2F2%29X+=+120%2F5\"   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=6X+-+5X+=+24 ALIGN=MIDDLE  ALT=\"6X+-+5X+=+24\"   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=1X+=+24 ALIGN=MIDDLE  ALT=\"1X+=+24\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the two integers are 24 and 25. </SPAN>\n" );
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