document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=684595>Question 684595</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If you add the sqaure of tom's age to the age of carol, the sum is 62;  but if you add the square of Carol's age to the age of Tom, the result is 176.  Determine the age of tom and carol.\r<BR>\n" );
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document.write( "I tried\r<BR>\n" );
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document.write( "Tom's age  Sq.Rt of T + C = 62<BR>\n" );
document.write( "Carol's age  Sq.Rt of C + T = 176\r<BR>\n" );
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document.write( "how do I solve this?<BR>\n" );
document.write( "Thanks  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #424156 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=424156\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  If you add the square of tom's age to the age of carol, the sum is 62;<BR>\n" );
document.write( " but if you add the square of Carol's age to the age of Tom, the result is 176.<BR>\n" );
document.write( " Determine the age of tom and carol.<BR>\n" );
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document.write( "Here is a situation where graphing would be the easiest way to solve this<BR>\n" );
document.write( "Let x = Carols age<BR>\n" );
document.write( "Let y = Tom's age<BR>\n" );
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document.write( "Write a slope intercept equation for each<BR>\n" );
document.write( "x^2 + y = 176<BR>\n" );
document.write( "y = 176 - x^3<BR>\n" );
document.write( "and<BR>\n" );
document.write( "x + y^2 = 62<BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2862-x%29 ALIGN=MIDDLE  ALT=\"sqrt%2862-x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Plot these two equation, find the intersect<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-6%2C+20%2C+-5%2C+10%2C+176-x%5E2%2C+sqrt%2862-x%29%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-6%2C+20%2C+-5%2C+10%2C+176-x%5E2%2C+sqrt%2862-x%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "we expect to be dealing with integers here, therefore we can see<BR>\n" );
document.write( "x = 13, y = 7<BR>\n" );
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document.write( "Tom is 7, Carol is 13 </SPAN>\n" );
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