document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=216275>Question 216275</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Molly's age is twice Anita's. If the sum of the square of their ages is 80, what are 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 #163444 by </B><A HREF=/tutors/aboutme.mpl?userid=drj><B>drj(1380)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drj><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=drj><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=163444\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Molly's age is twice Anita's. If the sum of the square of their ages is 80, what are their ages?\r<BR>\n" );
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document.write( "Step 1.  Let x be Anita's age\r<BR>\n" );
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document.write( "Step 2.  Let 2x be Molly's age since it's twice Anita's\r<BR>\n" );
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document.write( "Step 3.  Then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B%282x%29%5E2=80 ALIGN=MIDDLE  ALT=\"x%5E2%2B%282x%29%5E2=80\"   DISABLED_style= \"max-width:90%; height:auto;\" > since the sum of the square of their ages is 80.\r<BR>\n" );
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document.write( "Step 4.  Simplifying <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%5E2=80 ALIGN=MIDDLE  ALT=\"5x%5E2=80\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2=16 ALIGN=MIDDLE  ALT=\"x%5E2=16\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  \r<BR>\n" );
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document.write( "Step 5.  Taking the square root to both sides of the equation yields <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=4 ALIGN=MIDDLE  ALT=\"x=4\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Then 2x=8.\r<BR>\n" );
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document.write( "Check...<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%5E2%2B8%5E2=16%2B64=80 ALIGN=MIDDLE  ALT=\"4%5E2%2B8%5E2=16%2B64=80\"   DISABLED_style= \"max-width:90%; height:auto;\" >...which is a true statement\r<BR>\n" );
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document.write( "Step 6.  ANSWER:  Anita is 4 years old and Molly is 8 years old.\r<BR>\n" );
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document.write( "I hope the above steps were helpful.\r<BR>\n" );
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document.write( "For FREE Step-By-Step videos in Introduction to Algebra, please visit \r<BR>\n" );
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document.write( "http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit \r<BR>\n" );
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document.write( "http://www.FreedomUniversity.TV/courses/Trigonometry.\r<BR>\n" );
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document.write( "Good luck in your studies!\r<BR>\n" );
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document.write( "Respectfully,<BR>\n" );
document.write( "Dr J </SPAN>\n" );
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