document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=225337>Question 225337</A>: <I><SPAN STYLE=\"word-break: break-all;\"> THe sume of two numbers is 90. If 20 is added 3 times the smaller number, the result exceeds twice the larger number by 50. Let A represent the smaller number and let B represent the larger number.\r<BR>\n" );
document.write( "\n" );
document.write( "a+b=90 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #168164 by </B><A HREF=/tutors/aboutme.mpl?userid=LtAurora><B>LtAurora(115)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=LtAurora><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=LtAurora><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=168164\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Our given equations are:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%2BB=90 ALIGN=MIDDLE  ALT=\"A%2BB=90\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2B3A=2B%2B50 ALIGN=MIDDLE  ALT=\"20%2B3A=2B%2B50\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Solve the first one for a variable:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=90-B ALIGN=MIDDLE  ALT=\"A=90-B\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Plug this into the second equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2B3%2890-B%29=2B%2B50 ALIGN=MIDDLE  ALT=\"20%2B3%2890-B%29=2B%2B50\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Distribute the 3:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2B270-3B=2B%2B50 ALIGN=MIDDLE  ALT=\"20%2B270-3B=2B%2B50\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Combine like terms:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=290-3B=2B%2B50 ALIGN=MIDDLE  ALT=\"290-3B=2B%2B50\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Move the -3B to the other side by adding it:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=290=5B%2B50 ALIGN=MIDDLE  ALT=\"290=5B%2B50\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Move the 50 over by subtracting it:<BR>\n" );
document.write( "(((240=5B}}}<BR>\n" );
document.write( "Divide both sides by 5:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B=48 ALIGN=MIDDLE  ALT=\"B=48\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Plug this back into our equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=90-48 ALIGN=MIDDLE  ALT=\"A=90-48\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=42 ALIGN=MIDDLE  ALT=\"A=42\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=42 ALIGN=MIDDLE  ALT=\"A=42\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B=48 ALIGN=MIDDLE  ALT=\"B=48\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );