document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=769497>Question 769497</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the sum of two numbers is 38. three times the smaller number exceeds the larger number by 30. find 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 #468887 by </B><A HREF=/tutors/aboutme.mpl?userid=55305><B>55305(86)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=55305><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=468887\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Suppose we assume the two numbers are x and y, with x being the smaller one. The sum of the 2 numbers is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By=38 ALIGN=MIDDLE  ALT=\"x%2By=38\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and we are also given that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x-y=30 ALIGN=MIDDLE  ALT=\"3x-y=30\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Adding the two equations, we get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By%2B3x-y=30%2B38 ALIGN=MIDDLE  ALT=\"x%2By%2B3x-y=30%2B38\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x=68 ALIGN=MIDDLE  ALT=\"4x=68\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Dividing both sides by 4, we get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=17 ALIGN=MIDDLE  ALT=\"x=17\"   DISABLED_style= \"max-width:90%; height:auto;\" >. <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=38-x=38-17=21 ALIGN=MIDDLE  ALT=\"y=38-x=38-17=21\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So x=17 and y=21. </SPAN>\n" );
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