document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=93825>Question 93825</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0078659884/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> The LCM of 2 consecutive numbers is greater than 200 and is a multiple of seven. Name the numbers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #68346 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=68346\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I come up with 27,28.<BR>\n" );
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document.write( "I let the numbers be x and x+1.<BR>\n" );
document.write( "EQUATION:<BR>\n" );
document.write( "x(x+1) > 200<BR>\n" );
document.write( "Look at x^2+x-200=0<BR>\n" );
document.write( "Using the quadratic formula x is around 28.<BR>\n" );
document.write( "27*28 is greater than 200 and<BR>\n" );
document.write( "28 has 7 as a factor so the LCM would be a multiple of 7<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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