document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1063620>Question 1063620</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Three numbers are in ratio 2:3:4 and the sum of their squares is 725.find the numbers </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #678747 by </B><A HREF=/tutors/aboutme.mpl?userid=reviewermath><B>reviewermath(1029)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=reviewermath><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=reviewermath><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=678747\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Q: Three numbers are in ratio 2:3:4 and the sum of their squares is 725.find the numbers \r<BR>\n" );
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document.write( "Tutorial:<BR>\n" );
document.write( "The numbers are 2k, 3k, and 4k for some positive constant k.<BR>\n" );
document.write( "The sum of their squares is equal to<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282k%29%5E2+%2B+%283k%29%5E2+%2B+%284k%29%5E2+=+725 ALIGN=MIDDLE  ALT=\"%282k%29%5E2+%2B+%283k%29%5E2+%2B+%284k%29%5E2+=+725\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4k%5E2+%2B+9k%5E2+%2B+16k%5E2+=+725 ALIGN=MIDDLE  ALT=\"4k%5E2+%2B+9k%5E2+%2B+16k%5E2+=+725\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=29k%5E2+=+725 ALIGN=MIDDLE  ALT=\"29k%5E2+=+725\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Divide both sides by 29<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k%5E2+=+725%2F29 ALIGN=MIDDLE  ALT=\"k%5E2+=+725%2F29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k%5E2+=+25 ALIGN=MIDDLE  ALT=\"k%5E2+=+25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Get the positive square root of both sides.<BR>\n" );
document.write( "k = 5<BR>\n" );
document.write( "So 2k = 10, 3k = 15, and 4k = 20.<BR>\n" );
document.write( "The numbers are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%2810%29 ALIGN=MIDDLE  ALT=\"highlight%2810%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%2815%29 ALIGN=MIDDLE  ALT=\"highlight%2815%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%2820%29 ALIGN=MIDDLE  ALT=\"highlight%2820%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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