document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=131565>Question 131565</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Olivia, Newt, and John were each born 3 years apart, with Olivia the youngest and john the oldest. The sum of the squares of their ages is 606. How old is each? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #96038 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=96038\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Olivia, Newt, and John were each born 3 years apart, with Olivia the youngest and john the oldest. The sum of the squares of their ages is 606. How old is each?<BR>\n" );
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document.write( "Let Olivia's age be \"x\"<BR>\n" );
document.write( "Newt's age is \"x+3\"<BR>\n" );
document.write( "John's age is \"x+6\"<BR>\n" );
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document.write( "EQUATION<BR>\n" );
document.write( "x^2 + (x+3)^2 + (x+6)^2 = 606<BR>\n" );
document.write( "x^2 + x^+6x+9 + x^2+12x+36 = 606<BR>\n" );
document.write( "3x^2 + 18x + 45 = 606<BR>\n" );
document.write( "x^2 + 6x - 187 = -<BR>\n" );
document.write( "(x-11)(x+17)=0<BR>\n" );
document.write( "Positive Solution:<BR>\n" );
document.write( "x = 11 (Olivia's age)<BR>\n" );
document.write( "x+3 = 14 (Newt's age)<BR>\n" );
document.write( "x+6 = 17 (John's age)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.  </SPAN>\n" );
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