document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=63641>Question 63641</A>: <I><SPAN STYLE=\"word-break: break-all;\"> One number is 6 more than another.  If the sum of the smaller number and 3 times the larger number is 34, find the two numbers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #44369 by </B><A HREF=/tutors/aboutme.mpl?userid=joyofmath><B>joyofmath(189)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=joyofmath><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=44369\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> One number is 6 more than another.  If the sum of the smaller number and 3 times the larger number is 34, find the two numbers.<BR>\n" );
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document.write( "Let S = the smaller number and L = the larger one.\r<BR>\n" );
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document.write( "Then, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%2B3L=34 ALIGN=MIDDLE  ALT=\"S%2B3L=34\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=S%2B6 ALIGN=MIDDLE  ALT=\"L=S%2B6\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Replace L with S+6 in the first equation:\r<BR>\n" );
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document.write( "Then, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%2B3%28S%2B6%29=34 ALIGN=MIDDLE  ALT=\"S%2B3%28S%2B6%29=34\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%2B3S%2B18=34 ALIGN=MIDDLE  ALT=\"S%2B3S%2B18=34\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "So, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4S=16 ALIGN=MIDDLE  ALT=\"4S=16\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28S=4%29 ALIGN=MIDDLE  ALT=\"highlight%28S=4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "So, the smaller number is 4. The larger is 6 more than 4 so the larger number = 10.\r<BR>\n" );
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document.write( "To verify that the numbers are 4 and 10 we note the the sum of the smaller number and three times the larger number is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2B3%2810%29+=+4%2B30+=+34 ALIGN=MIDDLE  ALT=\"4%2B3%2810%29+=+4%2B30+=+34\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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