document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=497521>Question 497521</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If you add the square of Ruben's age to the age of Angelita, the sum is 62; but if yo add the square of Angelita's age to the age of Ruben, the sum is 176.  Can you say what the ages of Ruben and Angelita are?\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 #336904 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=336904\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If you add the square of Ruben's age to the age of Angelita, the sum is 62;<BR>\n" );
document.write( " but if you add the square of Angelita's age to the age of Ruben, the sum is 176.<BR>\n" );
document.write( " Can you say what the ages of Ruben and Angelita are? <BR>\n" );
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document.write( "Write an equation for each statement that can be entered into a graphing calc:<BR>\n" );
document.write( "r^2 + a =  62<BR>\n" );
document.write( "a = -r^2 + 62<BR>\n" );
document.write( "Enter y1 = -x^2 + 62<BR>\n" );
document.write( "and<BR>\n" );
document.write( "r + a^2 = 176<BR>\n" );
document.write( "a^2 = -r + 176<BR>\n" );
document.write( "a = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28-r%2B176%29 ALIGN=MIDDLE  ALT=\"sqrt%28-r%2B176%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y2 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28-x%2B176%29 ALIGN=MIDDLE  ALT=\"sqrt%28-x%2B176%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Should look like this:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-2%2C+10%2C+-4%2C+20%2C+-x%5E2%2B62%2C+sqrt%28-x%2B176%29%29 ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-2%2C+10%2C+-4%2C+20%2C+-x%5E2%2B62%2C+sqrt%28-x%2B176%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Intersection at x=7, y=13<BR>\n" );
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document.write( "therefore a=7, y=13, checks out in the original statements </SPAN>\n" );
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