document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=257628>Question 257628</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of two numbers is 50 and the sum of their squares is 2050 .what are the numbers?<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 #189512 by </B><A HREF=/tutors/aboutme.mpl?userid=shahbazn><B>shahbazn(6)</B></A><img src=\"/images/stars/stars-05.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=shahbazn><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=189512\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let one number be x. other number = (50-x)<BR>\n" );
document.write( "x^2=(50-x)^2 = 2050<BR>\n" );
document.write( "x^2+2500-100x+x^2 = 2050<BR>\n" );
document.write( "2x^2-100x+2500-2050=0<BR>\n" );
document.write( "2x2-100x+450=0<BR>\n" );
document.write( "x^2-50x+225=0             225=5*5*3*3<BR>\n" );
document.write( "(x-5)(x-450=0             225=5*45  <BR>\n" );
document.write( "x=5 or 45<BR>\n" );
document.write( "smaller number = 5                      <BR>\n" );
document.write( "larger number =45         </SPAN>\n" );
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