document.write( "Question 1160126: Tara is two years older than Ashley. In 4 years from now, Tara will be twice as old as Ashley was 4 years ago. Find their present ages. \n" ); document.write( "
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Solution.
\n" ); document.write( "Tara is two years older than Ashley
\n" ); document.write( "Let Ashley's age be x.
\n" ); document.write( "Then Tara's age will be 2+x.
\n" ); document.write( "4 years ago
\n" ); document.write( "Ashley's age = (x-4)
\n" ); document.write( "4 years hence
\n" ); document.write( "Tara's age = 4+2+x = 6+x
\n" ); document.write( "In 4 years from now,Tara will be twice as old as Ashley was 4 years ago
\n" ); document.write( "6+x = 2(x-4)
\n" ); document.write( "Multiply parenthesis by 2
\n" ); document.write( "6+x = 2x-8
\n" ); document.write( "Move terms
\n" ); document.write( "x-2x = -8-6
\n" ); document.write( "Collect the like terms & calculate the difference
\n" ); document.write( "-x = -14
\n" ); document.write( "Change the signs on both sides of the equation
\n" ); document.write( "x = 14
\n" ); document.write( "So Ashley's present age is 14 and Tara's is 16 years.\r
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