document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=943893>Question 943893</A>: <I><SPAN STYLE=\"word-break: break-all;\"> father is four times as old as his son today. six years ago, the product of the numbers denoting their ages was 252.find their present ages </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #575510 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=575510\">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=+s+ ALIGN=MIDDLE  ALT=\"+s+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the son's age today<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4s+ ALIGN=MIDDLE  ALT=\"+4s+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the father's age today<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+-+6+ ALIGN=MIDDLE  ALT=\"+s+-+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" > was the son's age 6 yrs ago<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4s+-+6+ ALIGN=MIDDLE  ALT=\"+4s+-+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" > was the father's age 6 yrs ago<BR>\n" );
document.write( "------------------------------------<BR>\n" );
document.write( "The product of the ages was:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+s+-+6+%29%2A%28+4s+-+6+%29+=+252+ ALIGN=MIDDLE  ALT=\"+%28+s+-+6+%29%2A%28+4s+-+6+%29+=+252+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4s%5E2+-+24s+-+6s+%2B+36+=+252+ ALIGN=MIDDLE  ALT=\"+4s%5E2+-+24s+-+6s+%2B+36+=+252+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4s%5E2+-+30s+-+216+ ALIGN=MIDDLE  ALT=\"+4s%5E2+-+30s+-+216+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2s%5E2+-+15s+-+108+=+0+ ALIGN=MIDDLE  ALT=\"+2s%5E2+-+15s+-+108+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "use quadratic formula:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+=+%28+-b+%2B-+sqrt%28+b%5E2+-+4%2Aa%2Ac+%29%29+%2F+%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"+s+=+%28+-b+%2B-+sqrt%28+b%5E2+-+4%2Aa%2Ac+%29%29+%2F+%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<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;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+-15+ ALIGN=MIDDLE  ALT=\"+b+=+-15+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+=+-108+ ALIGN=MIDDLE  ALT=\"+c+=+-108+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+=+%28+-%28-15%29+%2B-+sqrt%28+%28-15%29%5E2+-+4%2A2%2A%28-108%29+%29%29+%2F+%282%2A2%29+ ALIGN=MIDDLE  ALT=\"+s+=+%28+-%28-15%29+%2B-+sqrt%28+%28-15%29%5E2+-+4%2A2%2A%28-108%29+%29%29+%2F+%282%2A2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+=+%28+15+%2B-+sqrt%28+225+%2B+864%29%29+%2F+4+ ALIGN=MIDDLE  ALT=\"+s+=+%28+15+%2B-+sqrt%28+225+%2B+864%29%29+%2F+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+=+%28+15+%2B-+sqrt%28+1089%29%29+%2F+4+ ALIGN=MIDDLE  ALT=\"+s+=+%28+15+%2B-+sqrt%28+1089%29%29+%2F+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+=+%28+15+%2B+33+%29+%2F+4+ ALIGN=MIDDLE  ALT=\"+s+=+%28+15+%2B+33+%29+%2F+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  ( take the positive square root )<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+=+48%2F4+ ALIGN=MIDDLE  ALT=\"+s+=+48%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+=+12+ ALIGN=MIDDLE  ALT=\"+s+=+12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4s+=+4%2A12+ ALIGN=MIDDLE  ALT=\"+4s+=+4%2A12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4s+=+48+ ALIGN=MIDDLE  ALT=\"+4s+=+48+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The son is 12 and the father is 48<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+s+-+6+%29%2A%28+4s+-+6+%29+=+252+ ALIGN=MIDDLE  ALT=\"+%28+s+-+6+%29%2A%28+4s+-+6+%29+=+252+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+12+-+6+%29%2A%28+48+-+6+%29+=+252+ ALIGN=MIDDLE  ALT=\"+%28+12+-+6+%29%2A%28+48+-+6+%29+=+252+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6%2A42+=+252+ ALIGN=MIDDLE  ALT=\"+6%2A42+=+252+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+252+=+252+ ALIGN=MIDDLE  ALT=\"+252+=+252+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );