document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1012958>Question 1012958</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Twice Amy's age is 5 years more than that of Betty's. Twice the square of Amy's age subtracted from the square of Betty's age is 7 years. Find the sum of their ages. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #629130 by </B><A HREF=/tutors/aboutme.mpl?userid=macston><B>macston(5194)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=macston><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=macston><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=629130\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "A=Amy's age; B=Betty's age<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B=2A-5 ALIGN=MIDDLE  ALT=\"B=2A-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Use this to substitute for B below.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B%5E2-2A%5E2=7 ALIGN=MIDDLE  ALT=\"B%5E2-2A%5E2=7\"   DISABLED_style= \"max-width:90%; height:auto;\" > Substitute (2A-5) for B<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282A-5%29%5E2-2A%5E2=7 ALIGN=MIDDLE  ALT=\"%282A-5%29%5E2-2A%5E2=7\"   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=4A%5E2-20A%2B25-2A%5E2=7 ALIGN=MIDDLE  ALT=\"4A%5E2-20A%2B25-2A%5E2=7\"   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=2A%5E2-20A%2B18=0 ALIGN=MIDDLE  ALT=\"2A%5E2-20A%2B18=0\"   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%5E2-10A%2B9=0 ALIGN=MIDDLE  ALT=\"A%5E2-10A%2B9=0\"   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=%28A-9%29%28A-1%29=0 ALIGN=MIDDLE  ALT=\"%28A-9%29%28A-1%29=0\"   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-9=0 ALIGN=MIDDLE  ALT=\"A-9=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=OR ALIGN=MIDDLE  ALT=\"OR\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A-1=0 ALIGN=MIDDLE  ALT=\"A-1=0\"   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=9 ALIGN=MIDDLE  ALT=\"A=9\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=OR ALIGN=MIDDLE  ALT=\"OR\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=1 ALIGN=MIDDLE  ALT=\"A=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "Since twice Amy's age is 5 more than Betty's age, 1 does not work:<BR>\n" );
document.write( ".<BR>\n" );
document.write( "2A-5=B<BR>\n" );
document.write( "2(1)-5=B<BR>\n" );
document.write( "2-5=B<BR>\n" );
document.write( "-3=B<BR>\n" );
document.write( ".<BR>\n" );
document.write( "And Betty cannot be -3 years old.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "So Amy is 9 years old.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "B=2A-5<BR>\n" );
document.write( "B=2(9)-5<BR>\n" );
document.write( "B=16-5=13<BR>\n" );
document.write( "Betty is 13 years old.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "A+B=9+13=22<BR>\n" );
document.write( "ANSWER: The sum of their ages is 22 years<BR>\n" );
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document.write( "CHECK:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B%5E2-2A%5E2=7 ALIGN=MIDDLE  ALT=\"B%5E2-2A%5E2=7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=13%5E2-2%289%5E2%29=7%0D%0A%7B%7B%7B169-162=7 ALIGN=MIDDLE  ALT=\"13%5E2-2%289%5E2%29=7%0D%0A%7B%7B%7B169-162=7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7=7 ALIGN=MIDDLE  ALT=\"7=7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );