document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=504150>Question 504150</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the ages of three children in a family can be expressed as consecutive integers. the square of the age of the youngest child is 4 more than 8 times the age of the oldest. find the ages of the three children  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #339660 by </B><A HREF=/tutors/aboutme.mpl?userid=Maths68><B>Maths68(1474)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Maths68><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=Maths68><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=339660\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let<BR>\n" );
document.write( "Present age of youngest = x<BR>\n" );
document.write( "Present age of older = x+1<BR>\n" );
document.write( "Present age of older = x+2\r<BR>\n" );
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document.write( "x^2=8(x+2)+4<BR>\n" );
document.write( "x^2=8x+16+4<BR>\n" );
document.write( "x^2-8x=20<BR>\n" );
document.write( "x^2-8x-20=0<BR>\n" );
document.write( "x^2-10x+2x-20=0<BR>\n" );
document.write( "x(x-10)+2(x-10)=0<BR>\n" );
document.write( "(x-10)(x+2)=0<BR>\n" );
document.write( "x-10=0 or x+2=0<BR>\n" );
document.write( "x=10 or x=-2 (Impossible)\r<BR>\n" );
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document.write( "So x=10\r<BR>\n" );
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document.write( "Present age of youngest = x = 10<BR>\n" );
document.write( "Present age of older = x+1 = 10+1 = 11<BR>\n" );
document.write( "Present age of older = x+2 = 10+2 = 12\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );