document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=68553>Question 68553</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0130442631/algebrahomeworkh>algebra 1 </A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> frederique is two years older than her brother. 12 years ago she was twice as old as he was. How old are they now? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #48763 by </B><A HREF=/tutors/aboutme.mpl?userid=rmromero><B>rmromero(383)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rmromero><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=48763\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> How old is frederique and her brother now?<BR>\n" );
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document.write( "Given:<BR>\n" );
document.write( "Frederique is two years older than her brother.<BR>\n" );
document.write( "12 years ago, she was twice as old as he was.<BR>\n" );
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document.write( "Representation:<BR>\n" );
document.write( "Let F = Frederique's age now<BR>\n" );
document.write( "    B = Her brother's age<BR>\n" );
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document.write( "Translate the given sentences to mathematical equation<BR>\n" );
document.write( "Frederique is two years older than her brother. <BR>\n" );
document.write( "-->F = B + 2  ---> F - B = 2<BR>\n" );
document.write( "<br>12 years ago, she was twice as old as he was.  <BR>\n" );
document.write( "--> F-12 = 2 (B-12) --> F - 2B =-12<BR>\n" );
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document.write( "Solve the systems of equation:\r<BR>\n" );
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document.write( "F - B = 2<BR>\n" );
document.write( "F - 2B =-12<BR>\n" );
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document.write( "Multiply -1 to F - B = 2<BR>\n" );
document.write( "-1 (F - B = 2)<BR>\n" );
document.write( "    F - 2B = -12<BR>\n" );
document.write( "<br>Use Distributive property to simplify<BR>\n" );
document.write( "-F + B = -2<BR>\n" );
document.write( "F - 2B = -12<BR>\n" );
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document.write( "Add the two eqution\r<BR>\n" );
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document.write( "-B = -14<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight+%28B+=+14%29 ALIGN=MIDDLE  ALT=\"highlight+%28B+=+14%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> Her brother's age now<BR>\n" );
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document.write( "Substitute 14 for B to F - B = 2<BR>\n" );
document.write( "F - 14 = 2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight+%28F+=+16%29 ALIGN=MIDDLE  ALT=\"highlight+%28F+=+16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> Frederique's age now<BR>\n" );
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document.write( "You do the checking to check your answer Sustitute F = 16 and B = 14 to both equations.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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