document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=255696>Question 255696</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I'm thinking of an integer. half of this integer is 3 more then one third of the next integer. What is the integer?\r<BR>\n" );
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document.write( "Please help, I've tried everyway I can think of but none of them work,\r<BR>\n" );
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document.write( "Thank you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #187943 by </B><A HREF=/tutors/aboutme.mpl?userid=CharlesG2><B>CharlesG2(834)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CharlesG2><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=187943\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I'm thinking of an integer. half of this integer is 3 more then one third of the next integer. What is the integer? <BR>\n" );
document.write( "Please help, I've tried everyway I can think of but none of them work, <BR>\n" );
document.write( "Thank you.\r<BR>\n" );
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document.write( "integer I<BR>\n" );
document.write( "integer J is next integer after I\r<BR>\n" );
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document.write( "1/2 I = 1/3 J + 3<BR>\n" );
document.write( "    I = 2/3 J + 6\r<BR>\n" );
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document.write( "  3 I =   2 J + 18<BR>\n" );
document.write( " 3I - 18 = 2 J<BR>\n" );
document.write( " (3/2) I - 9 = J\r<BR>\n" );
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document.write( "I=(2/3)(I+1)+6<BR>\n" );
document.write( "I=(2/3)I+(2/3)+6 --> 6 is 18/3<BR>\n" );
document.write( "I=(2/3)I+(20/3)<BR>\n" );
document.write( "3I=2I+20<BR>\n" );
document.write( "I=20\r<BR>\n" );
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document.write( "lets see if 20 works for I\r<BR>\n" );
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document.write( "(1/2)(20)=(1/3)J+3<BR>\n" );
document.write( "10=(1/3)J+3<BR>\n" );
document.write( "7=(1/3)J<BR>\n" );
document.write( "21=J\r<BR>\n" );
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document.write( "since J is next integer J must be I+1\r<BR>\n" );
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document.write( "1/2 I suggests I must be even (so result would be an integer as well)\r<BR>\n" );
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document.write( "20 is even\r<BR>\n" );
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document.write( "1/3 J suggests J must be odd and divisible by 3 (since J is next integer and so result would be integer as well)\r<BR>\n" );
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document.write( "21 is odd and divisble by 3\r<BR>\n" );
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document.write( "and 2/3 J must be an integer so I would still be an integer\r<BR>\n" );
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document.write( "14 is an integer\r<BR>\n" );
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document.write( "and 3/2 I must be an integer so J would still be an integer\r<BR>\n" );
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document.write( "30 is an integer </SPAN>\n" );
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