document.write( "Question 1198730: Sixteen year old Amelia is four times older than her brother Theodore. How old will Amelia be when she's twice as old?
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Algebra.Com's Answer #832354 by Theo(13342)\"\" \"About 
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amelia is 16 years old
\n" ); document.write( "she is 4 times as old as her brother.
\n" ); document.write( "that means her brother is 4 years old.
\n" ); document.write( "amelia will be twice her age in 16 years.
\n" ); document.write( "her brother will then be 20.\r
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\n" ); document.write( "\n" ); document.write( "that's what i get from the way the problem is stated.\r
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\n" ); document.write( "\n" ); document.write( "you might have been asking how old amelia was when she is twice the age of her brother.
\n" ); document.write( "that's a different euqation.
\n" ); document.write( "we start with 16 = 4x, where x is the age of her brother.
\n" ); document.write( "that gets us x = 4, as before.
\n" ); document.write( "let y = the number of years before she becomes twice the age of her broher.
\n" ); document.write( "the equation for that is 16 + y = 2 * (4 + y)
\n" ); document.write( "simplify to get 16 + y = 8 + 2y
\n" ); document.write( "\subtract 8 from both sides of that equation and subtract y from both sides of that equation to get 16 - 8 = 2y - y\
\n" ); document.write( "simplify to get 8 = y
\n" ); document.write( "that says that she will be twice as old as her brother in 8 years.
\n" ); document.write( "she will be 24 and her brother will be 12.\r
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