document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=255598>Question 255598</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Translate into a system of equations:\r<BR>\n" );
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document.write( "Burl is twice as old as son. Ten years ago, Burl was three times as old as his son. 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 #187799 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=187799\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let b = burl's age.<BR>\n" );
document.write( "let s = burl's son's age.\r<BR>\n" );
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document.write( "first equation is:\r<BR>\n" );
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document.write( "b = 2s\r<BR>\n" );
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document.write( "this means burl's age is equal to 2 times his son's age today.\r<BR>\n" );
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document.write( "second equation is:\r<BR>\n" );
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document.write( "b-10 = 3*(s-10)\r<BR>\n" );
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document.write( "this means burl's age 10 years ago was equal to 3 times his son's age 10 years ago.\r<BR>\n" );
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document.write( "your system of equations is:\r<BR>\n" );
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document.write( "b = 2*s<BR>\n" );
document.write( "b-10 = 3*(s-10)\r<BR>\n" );
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document.write( "solve simultaneously by substitution.\r<BR>\n" );
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document.write( "take b = 2*s from first equation and substitute for b in second equation of:\r<BR>\n" );
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document.write( "b-10 = 3*(s-10) to get:\r<BR>\n" );
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document.write( "2*s - 10 = 3*(s-10).\r<BR>\n" );
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document.write( "simplify to get:\r<BR>\n" );
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document.write( "2*s - 10 = 3*s - 30\r<BR>\n" );
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document.write( "subtract 2*s from both sides of equation to get:\r<BR>\n" );
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document.write( "-10 = 3*s - 2*s - 30\r<BR>\n" );
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document.write( "add 30 to both sides of equation to get:\r<BR>\n" );
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document.write( "-10 + 30 = 3*s - 2*s\r<BR>\n" );
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document.write( "combine like terms to get:\r<BR>\n" );
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document.write( "20 = s\r<BR>\n" );
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document.write( "burl's son is 20 years old today.\r<BR>\n" );
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document.write( "burl must be 40 years old today (2*20 = 40).\r<BR>\n" );
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document.write( "ten years ago burl was 30.\r<BR>\n" );
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document.write( "ten years ago burl's son was 10.\r<BR>\n" );
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document.write( "30/10 = 3 means burl was 3 times as old as his son 10 years ago.\r<BR>\n" );
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document.write( "answer is:\r<BR>\n" );
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document.write( "burl is 40 years old today.<BR>\n" );
document.write( "burl's son is 20 years old today.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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