document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=285529>Question 285529</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How many positive integers below 2009 are divisible by both 4 and 6?\r<BR>\n" );
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document.write( "A. 502 B. 334 C. 167 D. 83 E. None of these. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #206947 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=206947\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 4 goes into 2009 502.2 times.<BR>\n" );
document.write( "6 goes into 2009 334.833333 times.<BR>\n" );
document.write( "The least common multiple of 4 and 6 appears to be 12.<BR>\n" );
document.write( "This is because 3*4 = 12 and 2*6 = 12.<BR>\n" );
document.write( "12 goes into 2009 167.4166667 times.<BR>\n" );
document.write( "Round that down to the nearest integer and you get 167.\r<BR>\n" );
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document.write( "I believe that's your answer.\r<BR>\n" );
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document.write( "In between those numbers, 4 and 6 do not both divide into the numbers.\r<BR>\n" );
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document.write( "If you go up by 4 from 1 to 48, you get:\r<BR>\n" );
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document.write( "4,8,12,16,20,24,28,32,36,40,44,48\r<BR>\n" );
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document.write( "If you go up by 6 from 1 to 48, you get:\r<BR>\n" );
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document.write( "6,12,18,24,30,36,42,48\r<BR>\n" );
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document.write( "The common numbers are:\r<BR>\n" );
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document.write( "12,24,36,48\r<BR>\n" );
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document.write( "These are the numbers that are divisible by both 4 and 6.\r<BR>\n" );
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document.write( "Notice they are all multiples of 12.\r<BR>\n" );
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document.write( "Your answer is selection C (167).\r<BR>\n" );
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document.write( " </SPAN>\n" );
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