document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=190412>Question 190412</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The ratio of two numbers is 3:4. Their sum is to the sum of their squares as 7 is to 50. Find the numbers. (Thanks for your help.) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #142921 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=142921\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The ratio of two numbers is 3:4. <BR>\n" );
document.write( "Let the numbers be 3x and 4x<BR>\n" );
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document.write( "Their sum is to the sum of their squares as 7 is to 50. Find the numbers.<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "(3x+4x)/((3x)^2+(4x)^2) = 7/50<BR>\n" );
document.write( "7x/25x^2 = 7/50<BR>\n" );
document.write( "x/25x^2 = 1/50<BR>\n" );
document.write( "1/25x = 1/50<BR>\n" );
document.write( "x = 2<BR>\n" );
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document.write( "One number is 3x = 6<BR>\n" );
document.write( "The other is 4x = 8<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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