document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=221471>Question 221471</A>: <I><SPAN STYLE=\"word-break: break-all;\"> one number is 3 more than twice a second number.  their sum is 27. find the numbers.  (write an equation for this problem) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #166112 by </B><A HREF=/tutors/aboutme.mpl?userid=drj><B>drj(1380)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drj><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=drj><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=166112\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> One number is 3 more than twice a second number.  Their sum is 27.  Find the numbers.  (Write an equation for this problem)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Step 1.  Let m be the second number \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Step 2.  Let 2m+3 be the one number since it's 3 more than twice a second number.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Step 3.  Then m+2m+3=27 since their sum is 27.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Step 4.  Solving the equation in Step 3 yields the following steps.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<TABLE  BORDER=1>\n" );
document.write( "\n" );
document.write( " <TR><TD  ALIGN=MIDDLE>Solved by <A  rel=nofollow HREF=http://wiki.algebra.com/index.php/Tutoring_-_pluggable_solvers>pluggable</A> solver: <A  rel=nofollow HREF=explain_simplification.solver>EXPLAIN simplification of an expression</A></TD></TR>\n" );
document.write( "<TR><TD  ALIGN=LEFT><B>Your Result</B>: <BR><BR>\n" );
document.write( "<BR>\n" );
document.write( "<H3  DISABLED_style= \"background-color: #88ccDD; font-weight: bold; margin-top: 0px; margin-bottom: 3px; text-align: center; padding: 2px;\">\n" );
document.write( "  YOUR ANSWER\n" );
document.write( "</H3><BR>\n" );
document.write( "<TABLE BORDER=2 WIDTH=100%><TR><TD> <UL  DISABLED_style= \"line-height: 30px; \">\n" );
document.write( "<LI><B>This is an <A  rel=nofollow HREF=/algebra/homework/equations/>equation</A>!</B> Solutions: <FONT SIZE=+2><U><B>m=8</B></U></FONT>.<BR></LI>\n" );
document.write( "<LI><B>Graphical form</B>: <A  rel=nofollow HREF=/algebra/homework/equations/>Equation</A> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%2B2m%2B3=27 ALIGN=MIDDLE  ALT=\"m%2B2m%2B3=27\"   DISABLED_style= \"max-width:90%; height:auto;\" > was fully solved.</LI><LI><B>Text form</B>: m+2m+3=27 simplifies to 0=0</LI><LI><B>Cartoon (animation) form</B>: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=simplify_cartoon%28+m%2B2m%2B3=27+%29 ALIGN=MIDDLE  ALT=\"simplify_cartoon%28+m%2B2m%2B3=27+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR> For tutors: <CODE>simplify_cartoon( m+2m+3=27 )</CODE></LI>\n" );
document.write( "<LI>If you have a website, here's a <A rel=nofollow  rel=nofollow HREF=/services/rendering/simplifier.mpl?expression=m%2B2m%2B3=27>link</A> to this solution. </LI>\n" );
document.write( "</UL>\n" );
document.write( "</TD></TR>\n" );
document.write( "</TABLE>\n" );
document.write( "<H3  DISABLED_style= \"background-color: #88ccDD; font-weight: bold; margin-top: 0px; margin-bottom: 3px; text-align: center; padding: 2px;\">DETAILED EXPLANATION</H3>\n" );
document.write( "<HR width=50% align=left>Look at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_red%28+m+%29%2Bhighlight_red%28+2%2Am+%29%2B3=27 ALIGN=MIDDLE  ALT=\"highlight_red%28+m+%29%2Bhighlight_red%28+2%2Am+%29%2B3=27\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR> Eliminated <A  rel=nofollow HREF=/algebra/homework/expressions/>similar terms</A> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_red%28+m+%29 ALIGN=MIDDLE  ALT=\"highlight_red%28+m+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_red%28+2%2Am+%29 ALIGN=MIDDLE  ALT=\"highlight_red%28+2%2Am+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  replacing them with  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28+%281%2B2%29%2Am+%29 ALIGN=MIDDLE  ALT=\"highlight_green%28+%281%2B2%29%2Am+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>It becomes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28+%281%2B2%29%2Am+%29%2B3=27& border=1  ALIGN=MIDDLE  ALT=\"highlight_green%28+%281%2B2%29%2Am+%29%2B3=27\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "<HR width=50% align=left>Look at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28highlight_red%28+1+%29%2Bhighlight_red%28+2+%29%29%2Am%2B3=27 ALIGN=MIDDLE  ALT=\"%28highlight_red%28+1+%29%2Bhighlight_red%28+2+%29%29%2Am%2B3=27\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR> Added fractions or integers together <BR>It becomes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28highlight_green%28+3+%29%29%2Am%2B3=27& border=1  ALIGN=MIDDLE  ALT=\"%28highlight_green%28+3+%29%29%2Am%2B3=27\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "<HR width=50% align=left>Look at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_red%28+%28highlight_red%28+3+%29%29%2Am+%29%2B3=27 ALIGN=MIDDLE  ALT=\"highlight_red%28+%28highlight_red%28+3+%29%29%2Am+%29%2B3=27\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR> Remove unneeded parentheses around factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_red%28+3+%29 ALIGN=MIDDLE  ALT=\"highlight_red%28+3+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>It becomes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28+3+%29%2Am%2B3=27& border=1  ALIGN=MIDDLE  ALT=\"highlight_green%28+3+%29%2Am%2B3=27\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "<HR width=50% align=left>Look at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2Am%2B3=highlight_red%28+27+%29 ALIGN=MIDDLE  ALT=\"3%2Am%2B3=highlight_red%28+27+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR> Moved these terms to the left <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28+-27+%29 ALIGN=MIDDLE  ALT=\"highlight_green%28+-27+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>It becomes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2Am%2B3-highlight_green%28+27+%29=0& border=1  ALIGN=MIDDLE  ALT=\"3%2Am%2B3-highlight_green%28+27+%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "<HR width=50% align=left>Look at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2Am%2Bhighlight_red%28+3+%29-highlight_red%28+27+%29=0 ALIGN=MIDDLE  ALT=\"3%2Am%2Bhighlight_red%28+3+%29-highlight_red%28+27+%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR> Added fractions or integers together <BR>It becomes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2Am%2Bhighlight_green%28+-24+%29=0& border=1  ALIGN=MIDDLE  ALT=\"3%2Am%2Bhighlight_green%28+-24+%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "<HR width=50% align=left>Look at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2Am%2Bhighlight_red%28+-24+%29=0 ALIGN=MIDDLE  ALT=\"3%2Am%2Bhighlight_red%28+-24+%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR> Removed extra sign in front of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-24 ALIGN=MIDDLE  ALT=\"-24\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>It becomes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2Am-highlight_green%28+24+%29=0& border=1  ALIGN=MIDDLE  ALT=\"3%2Am-highlight_green%28+24+%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "<HR width=50% align=left>Look at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_red%28+3%2Am-24+%29=0 ALIGN=MIDDLE  ALT=\"highlight_red%28+3%2Am-24+%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR> Solved <A  rel=nofollow HREF=/algebra/homework/Linear-equations/>linear equation</A> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_red%28+3%2Am-24=0+%29 ALIGN=MIDDLE  ALT=\"highlight_red%28+3%2Am-24=0+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > equivalent to  3*m-24  =0 <BR>It becomes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28+0+%29=0& border=1  ALIGN=MIDDLE  ALT=\"highlight_green%28+0+%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR><B>Result</B>: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=0& border=2 ALIGN=MIDDLE  ALT=\"0=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<B>This is an <A  rel=nofollow HREF=/algebra/homework/equations/>equation</A>!</B> Solutions: <FONT SIZE=+2><U><B>m=8</B></U></FONT>.<BR><BR><H3  DISABLED_style= \"background-color: #88ccDD; font-weight: bold; margin-top: 0px; margin-bottom: 3px; text-align: center; padding: 2px;\">Universal Simplifier and Solver</H3>\n" );
document.write( "<BR>Done!<BR></TD></TR></TABLE><BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "m=8 and 2m+3=19  and note that their sum is 27.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Step 5.  ANSWER:  The numbers are 19 and 8.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "I hope the above steps were helpful.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Good luck in your studies!\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Respectfully,<BR>\n" );
document.write( "Dr J </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );