document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=832350>Question 832350</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How old is Ann if she's three years older than chuck and in five years, her age and chuck age will equal to 54 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #502004 by </B><A HREF=/tutors/aboutme.mpl?userid=hovuquocan1997><B>hovuquocan1997(83)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=hovuquocan1997><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=502004\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let Ann's age be \"x\", and Chuck's age be \"y\"<BR>\n" );
document.write( "We have she's three year older than chuck, meaning we have the equation<BR>\n" );
document.write( "x = y + 3 <BR>\n" );
document.write( "x - y = 3<BR>\n" );
document.write( "Then we have in five years, the total of both will be 54<BR>\n" );
document.write( "Notice this, in five years, that mean you have to add 5 to both variables<BR>\n" );
document.write( "(x+5) + (y+5) = 54 <BR>\n" );
document.write( "x + y + 10 = 54<BR>\n" );
document.write( "x+y = 44<BR>\n" );
document.write( "So now we have two different equations, let's combine them and solve the system of equations<BR>\n" );
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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=linear_substitution.solver>SOLVE linear system by SUBSTITUTION</A></TD></TR>\n" );
document.write( "<TR><TD  ALIGN=LEFT>Solve:<BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+system%28+%0D%0A++++1%5Cx+%2B+-1%5Cy+=+3%2C%0D%0A++++1%5Cx+%2B+1%5Cy+=+44+%29%0D%0A++ ALIGN=MIDDLE  ALT=\"+system%28+%0D%0A++++1%5Cx+%2B+-1%5Cy+=+3%2C%0D%0A++++1%5Cx+%2B+1%5Cy+=+44+%29%0D%0A++\"   DISABLED_style= \"max-width:90%; height:auto;\" >We'll use substitution. After moving -1*y to the right, we get:<BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Ax+=+3+-+-1%2Ay ALIGN=MIDDLE  ALT=\"1%2Ax+=+3+-+-1%2Ay\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+3%2F1+-+-1%2Ay%2F1 ALIGN=MIDDLE  ALT=\"x+=+3%2F1+-+-1%2Ay%2F1\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Substitute that<BR>\n" );
document.write( "  into another equation:<BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2A%283%2F1+-+-1%2Ay%2F1%29+%2B+1%5Cy+=+44 ALIGN=MIDDLE  ALT=\"1%2A%283%2F1+-+-1%2Ay%2F1%29+%2B+1%5Cy+=+44\"   DISABLED_style= \"max-width:90%; height:auto;\" > and simplify: So, we know that y=20.5. Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+3%2F1+-+-1%2Ay%2F1 ALIGN=MIDDLE  ALT=\"x+=+3%2F1+-+-1%2Ay%2F1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, x=23.5.<BR>\n" );
document.write( "  <BR>\n" );
document.write( "  Answer: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28+x=23.5%2C+y=20.5+%29 ALIGN=MIDDLE  ALT=\"system%28+x=23.5%2C+y=20.5+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "  </TD></TR>\n" );
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document.write( "Well, the answer is kind of odd but I'm pretty sure that I did it right, so if you find any mistake you can leave a comment and I would be happy to look at it <BR>\n" );
document.write( ":D  </SPAN>\n" );
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