document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=161435>Question 161435</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Points R, J, S, G are collinear. If RJ=SG and RJ, JS, and SG are integaers, what value is NOT possible for RG if JS= 15?\r<BR>\n" );
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document.write( "A: 18<BR>\n" );
document.write( "B: 21<BR>\n" );
document.write( "C: 25<BR>\n" );
document.write( "D: 17\r<BR>\n" );
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document.write( "._____.__________._____.\r<BR>\n" );
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document.write( "the order of the points are R, J, S, G </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #118956 by </B><A HREF=/tutors/aboutme.mpl?userid=gonzo><B>gonzo(654)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=gonzo><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=118956\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> order of points is RJSG (given)<BR>\n" );
document.write( "RG is the whole line which is composed of the parts RJ, JS, and SG. (given)<BR>\n" );
document.write( "JS = 15 (given)<BR>\n" );
document.write( "RJ = SG (given)<BR>\n" );
document.write( "RJ, JS, and SG are integers (given).<BR>\n" );
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document.write( "RG = RJ + JS + SG (sum of the parts equals the whole).<BR>\n" );
document.write( "RG = RJ + 15 + SG (substitution since JS = 15)<BR>\n" );
document.write( "RG = 15 + 2*RJ (since RJ = SG, then we can susbsitute RJ for SG).<BR>\n" );
document.write( "subtract 15 from both sides of equation.<BR>\n" );
document.write( "RG - 15 = 2*RJ<BR>\n" );
document.write( "divide both sides of equation by 2.<BR>\n" );
document.write( "(RG - 15)/2 = RJ<BR>\n" );
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document.write( "since RJ must an integer, then the equation on the left must also be an integer.<BR>\n" );
document.write( "choices are:<BR>\n" );
document.write( "18, 21, 25, 17<BR>\n" );
document.write( "(18 - 13)/2 = 3/2 = 1.5 no good<BR>\n" );
document.write( "(21 - 15)/2 = 6/2 = 3 ok<BR>\n" );
document.write( "(25 - 15)/2 = 10/2 = 5 ok<BR>\n" );
document.write( "(17 - 15)/2 = 2/2 = 1 ok<BR>\n" );
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document.write( "answer is A (18).<BR>\n" );
document.write( "RG cannot be 18 because (18-15)/2 equals 3/2 = 1.5 which is not an integer.<BR>\n" );
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document.write( "answer is A.<BR>\n" );
document.write( "JS cannot be equal to 1.5.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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