document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=129894>Question 129894</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0071244255/algebrahomeworkh>ELEMENTARY NUMBER THEORY</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Find an integer having the remainders 1,2,5,5, when divided by 2,3,6,12, respectively </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #94855 by </B><A HREF=/tutors/aboutme.mpl?userid=Dalmo><B>Dalmo(2)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Dalmo><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=94855\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi there!<BR>\n" );
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document.write( "For this problem, we don't need to use a whole lot of math. We just need to pay attention, think about it, and write down our steps.<BR>\n" );
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document.write( "We know that it is an odd number, since its remainder is 1 when divided by 2.<BR>\n" );
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document.write( "We also know that is is 2 more than an odd multiple of 3.<BR>\n" );
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document.write( "Let's get some options now:<BR>\n" );
document.write( "Multiples of 3: 0,3,6,9,12,15,18,21,24...<BR>\n" );
document.write( "Odd multiples of 3: 3,9,15,21...<BR>\n" );
document.write( "Options: 7,11,17,23...<BR>\n" );
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document.write( "If we divide the number by 6, the remainder is 5.<BR>\n" );
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document.write( "Options: 17,23<BR>\n" );
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document.write( "If we divide the number by 12, the remainder is 5<BR>\n" );
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document.write( "Answer: 17<BR>\n" );
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document.write( "I hope it helps.<BR>\n" );
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document.write( "I'll see you there! </SPAN>\n" );
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