document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1167498>Question 1167498</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You can't find this on the internet...<BR>\n" );
document.write( "Fred is 36, and is twice as old as Bert was when Fred was as old as Bert is now. How old is Bert?\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #792092 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=792092\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> f = fred's age now.<BR>\n" );
document.write( "b = bert's age now.<BR>\n" );
document.write( "x = number of years\r<BR>\n" );
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document.write( "the problem statement is:\r<BR>\n" );
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document.write( "Fred is 36, and is twice as old as Bert was when Fred was as old as Bert is now.<BR>\n" );
document.write( "How old is Bert?\r<BR>\n" );
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document.write( "fred as as old as bert is now x years ago.\r<BR>\n" );
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document.write( "the equation for that is f - x = b\r<BR>\n" );
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document.write( "fred is now twice as old as bert was then.\r<BR>\n" );
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document.write( "the equation for that is f = 2 * (b - x)\r<BR>\n" );
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document.write( "since b = f - x, then replace b in that equation with f - x to get:\r<BR>\n" );
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document.write( "f = 2 * (f - x - x)\r<BR>\n" );
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document.write( "combine like terms to get:\r<BR>\n" );
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document.write( "f = 2 * f - 2x)\r<BR>\n" );
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document.write( "simplify to get:\r<BR>\n" );
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document.write( "f = 2f - 4x\r<BR>\n" );
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document.write( "subtract f from both sides of that equation and add 4x to both sides of that equation to get:\r<BR>\n" );
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document.write( "4x = 2f - f\r<BR>\n" );
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document.write( "solve for f to get:\r<BR>\n" );
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document.write( "f = 4x\r<BR>\n" );
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document.write( "since f = 36, then 4x = 36.\r<BR>\n" );
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document.write( "solve for x to get x = 9\r<BR>\n" );
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document.write( "when x = 9, you get:\r<BR>\n" );
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document.write( "f = 36<BR>\n" );
document.write( "b = 36 - 9 = 27<BR>\n" );
document.write( "x = 9\r<BR>\n" );
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document.write( "now that you know these values, look at the problem statement again.\r<BR>\n" );
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document.write( "that statement is:\r<BR>\n" );
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document.write( "Fred is 36, and is twice as old as Bert was when Fred was as old as Bert is now.<BR>\n" );
document.write( "How old is Bert?\r<BR>\n" );
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document.write( "fred is 36 and bert is 27.<BR>\n" );
document.write( "9 years ago, fred was 27 and bert was 18.\r<BR>\n" );
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document.write( "9 years ago, fred was as old as bert is now.<BR>\n" );
document.write( "9 years ago fred was 27.<BR>\n" );
document.write( "bert is 27 now.<BR>\n" );
document.write( "the statement is true.\r<BR>\n" );
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document.write( "fred is now twice as old as bert was then.<BR>\n" );
document.write( "fred is 36 years old now.<BR>\n" );
document.write( "bert was 18 years old 9 years ago.<BR>\n" );
document.write( "36/18 = 2<BR>\n" );
document.write( "the statement is true.\r<BR>\n" );
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document.write( "your solution is that bert is 27 years old now.\r<BR>\n" );
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