document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=212042>Question 212042</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Diego is twice as old as Anna now. Six years ago, Diego was triple Anna's age. Find both their present ages please. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #160236 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=160236\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Diego is twice as old as Anna now. Six years ago, Diego was triple Anna's age. Find both their present ages please.\r<BR>\n" );
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document.write( "Step 1.  Let x=Anna's age\r<BR>\n" );
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document.write( "Step 2.  Let 2x= Diego's age\r<BR>\n" );
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document.write( "Step 3.  Six years ago, we have the following:\r<BR>\n" );
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document.write( "2x-6 is age of Diego six years ago\r<BR>\n" );
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document.write( "x-6 is age of Anna six years ago\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-6=+3%28x-6%29 ALIGN=MIDDLE  ALT=\"2x-6=+3%28x-6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  based on the problem statement: \"Six years ago, Diego was triple Anna's age.\"\r<BR>\n" );
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document.write( "Step 4.  Simplify last equation in Step 3\r<BR>\n" );
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document.write( "Subtract 2x from both sides of equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-6-2x=3x-18-2x ALIGN=MIDDLE  ALT=\"2x-6-2x=3x-18-2x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-6=x-18 ALIGN=MIDDLE  ALT=\"-6=x-18\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now add 18 to both sides to isolate x\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-6%2B18=x-18%2B18 ALIGN=MIDDLE  ALT=\"-6%2B18=x-18%2B18\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12=x ALIGN=MIDDLE  ALT=\"12=x\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "Step 4.  Anna's age is 12 and Diego age is 24 since he's twice as old as Anna.\r<BR>\n" );
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document.write( "As a check, 6 years ago:  Anna is 6 years old and Diego is 18 years old. This agees with the problem statement of 6 years ago.\r<BR>\n" );
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document.write( "Hope this helps, let me know if you have further questions at john@e-liteworks.com\r<BR>\n" );
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document.write( "For Step-By-Step Videos about Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra.\r<BR>\n" );
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document.write( "  </SPAN>\n" );
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