document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=170277>Question 170277</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Five girls live in the same apartment building.  To determine the age of each girl, write each clue as an equation or an inquality.\r<BR>\n" );
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document.write( "1.  All 5 girls are older than 10 but younger than 20.\r<BR>\n" );
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document.write( "2.  Karen i solder than Angela but younger than Janet.\r<BR>\n" );
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document.write( "3.  Janet's age is halfway between Tamara's age and Angela's age.\r<BR>\n" );
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document.write( "4.  The ages of all the girls except Janet are even numbers.\r<BR>\n" );
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document.write( "5.  Susan is neither the oldest nor the youngest.\r<BR>\n" );
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document.write( "6.  Karen is as much older than Angela as Tamara is older than Susan.\r<BR>\n" );
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document.write( "7.  No two girls are the same age.\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #125718 by </B><A HREF=/tutors/aboutme.mpl?userid=Mathtut><B>Mathtut(3670)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Mathtut><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=125718\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> lets call a,k,j,s,t the ages of the girls angela,karen,janet,susan,and tamara respectively.<BR>\n" );
document.write( "1. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%3Ca-k-j-s-t%3C20 ALIGN=MIDDLE  ALT=\"10%3Ca-k-j-s-t%3C20\"   DISABLED_style= \"max-width:90%; height:auto;\" >  so there ages are between 11 and 19 <BR>\n" );
document.write( "2. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k%3Ea ALIGN=MIDDLE  ALT=\"k%3Ea\"   DISABLED_style= \"max-width:90%; height:auto;\" > but <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k%3Cj ALIGN=MIDDLE  ALT=\"k%3Cj\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "3. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=j=%28t%2Ba%29%2F2 ALIGN=MIDDLE  ALT=\"j=%28t%2Ba%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "4. all ages except j is divisible by 2<BR>\n" );
document.write( "5. susan neither youngest or oldest<BR>\n" );
document.write( "6. k-a=t-s<BR>\n" );
document.write( "7. a is not equal to k is not equal to j is not equal to s is not equal to t<BR>\n" );
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document.write( "because of #4 everyone but Janet has to be 12,14,16 or 18<BR>\n" );
document.write( "because of #'s 2,6,and 5 there are only 2 possibilities <BR>\n" );
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document.write( "k-a must equal t-s meaning 2=2 or 4=4 <BR>\n" );
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document.write( "A.  angela-12,karen-14,susan-16,tamara-18----->14-12=18-16 or 2=2<BR>\n" );
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document.write( "B.  angela-12,susan-14,karen-16,tamara-18----->16-12=18-14 or 4=4<BR>\n" );
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document.write( "lets determine # 3. at this point in either case A or B j=(18+12)/2=15 so Janet is 15 which fits right into # 4. which states Janets age is not even.<BR>\n" );
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document.write( "now we know that choice B will not work because of 2. which states that karen is less than janet......leaving only choice A.\r<BR>\n" );
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document.write( "conclusion <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28angela-12-karen-14-janet-15-susan-16-tamara-18%29 ALIGN=MIDDLE  ALT=\"highlight%28angela-12-karen-14-janet-15-susan-16-tamara-18%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  </SPAN>\n" );
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