document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1094915>Question 1094915</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a girl is currently 5 years older than her younger brother and 3 years younger than her older brother. 2 years from the current time, the product of the ages of the brothers will be 12 times the age of the girl. what is the current age of the oldest brother<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 #709487 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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/cgi-bin/show-face.mpl?user=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=709487\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+-+2+ ALIGN=MIDDLE  ALT=\"+a+-+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the girl's age now<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+-+2+ ALIGN=MIDDLE  ALT=\"+b+-+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = her younger brother's age now<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+-+2+ ALIGN=MIDDLE  ALT=\"+c+-+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = her older brother's age now<BR>\n" );
document.write( "( I did this to make the 3rd equation simpler )<BR>\n" );
document.write( "----------------------------------------<BR>\n" );
document.write( "With 3 unknowns, I need 3 equations<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+-+2+=+b+-+2+%2B+5+ ALIGN=MIDDLE  ALT=\"+a+-+2+=+b+-+2+%2B+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+-+2+=+c+-+2+-+3+ ALIGN=MIDDLE  ALT=\"+a+-+2+=+c+-+2+-+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+b+-+2+%2B+2+%29%2A%28+c+-+2+%2B+2+%29+=+12%2A%28+a+-+2+%2B+2+%29+ ALIGN=MIDDLE  ALT=\"+%28+b+-+2+%2B+2+%29%2A%28+c+-+2+%2B+2+%29+=+12%2A%28+a+-+2+%2B+2+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------------------------------<BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b%2Ac+=+12a+ ALIGN=MIDDLE  ALT=\"+b%2Ac+=+12a+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+-+2+=+b+%2B+3+ ALIGN=MIDDLE  ALT=\"+a+-+2+=+b+%2B+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+-+b+=+5+ ALIGN=MIDDLE  ALT=\"+a+-+b+=+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+-+2+=+c+-+5+ ALIGN=MIDDLE  ALT=\"+a+-+2+=+c+-+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+=+a+%2B+3+ ALIGN=MIDDLE  ALT=\"+c+=+a+%2B+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "Plug (2) into (3)<BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b%2A%28+a+%2B+3+%29+=+12a+ ALIGN=MIDDLE  ALT=\"+b%2A%28+a+%2B+3+%29+=+12a+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+12a+%2F+%28+a+%2B+3+%29+ ALIGN=MIDDLE  ALT=\"+b+=+12a+%2F+%28+a+%2B+3+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Plug this into (1)<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+-+%28+12a+%29%2F%28+a+%2B+3+%29+=+5+ ALIGN=MIDDLE  ALT=\"+a+-+%28+12a+%29%2F%28+a+%2B+3+%29+=+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a%2A%28+a+%2B+3+%29+-12a+=+5%2A%28+a+%2B+3+%29+ ALIGN=MIDDLE  ALT=\"+a%2A%28+a+%2B+3+%29+-12a+=+5%2A%28+a+%2B+3+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a%5E2+%2B+3a+-+12a+=+5a+%2B+15+ ALIGN=MIDDLE  ALT=\"+a%5E2+%2B+3a+-+12a+=+5a+%2B+15+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a%5E2+-+14a+-+15+=+0+ ALIGN=MIDDLE  ALT=\"+a%5E2+-+14a+-+15+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+a+-+15+%29%2A%28+a+%2B+1+%29+=+0+ ALIGN=MIDDLE  ALT=\"+%28+a+-+15+%29%2A%28+a+%2B+1+%29+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ( by looking at it )<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+15+ ALIGN=MIDDLE  ALT=\"+a+=+15+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ( can't have a negative age )<BR>\n" );
document.write( "and<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+=+a+%2B+3+ ALIGN=MIDDLE  ALT=\"+c+=+a+%2B+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+=+18+ ALIGN=MIDDLE  ALT=\"+c+=+18+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+-+b+=+5+ ALIGN=MIDDLE  ALT=\"+a+-+b+=+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+15+-+b+=+5+ ALIGN=MIDDLE  ALT=\"+15+-+b+=+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+10+ ALIGN=MIDDLE  ALT=\"+b+=+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+-+2+=+13+ ALIGN=MIDDLE  ALT=\"+a+-+2+=+13+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+-+2+=+8+ ALIGN=MIDDLE  ALT=\"+b+-+2+=+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+-+2+=+16+ ALIGN=MIDDLE  ALT=\"+c+-+2+=+16+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "The girl is 13<BR>\n" );
document.write( "Her younger brother is 8<BR>\n" );
document.write( "Her older brother is 16<BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "The girl is:<BR>\n" );
document.write( "5 yrs older than younger brother YES<BR>\n" );
document.write( "3 yrs younger than older brother YES<BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+8+%2B+2+%29%2A%28+16+%2B+2+%29+=+12%2A%28+13+%2B+2+%29+ ALIGN=MIDDLE  ALT=\"+%28+8+%2B+2+%29%2A%28+16+%2B+2+%29+=+12%2A%28+13+%2B+2+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10%2A18+=+12%2A15+ ALIGN=MIDDLE  ALT=\"+10%2A18+=+12%2A15+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+180+=+180+ ALIGN=MIDDLE  ALT=\"+180+=+180+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK\r<BR>\n" );
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