document.write( "Question 505856: Tessie is twice as old as Norma. Three years ago, she was three times as old. How old are they now? \n" ); document.write( "
Algebra.Com's Answer #339997 by Maths68(1474)\"\" \"About 
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Let
\n" ); document.write( "Present age of Tessie = t
\n" ); document.write( "Present age of Norma = n
\n" ); document.write( "Given
\n" ); document.write( "Tessie is twice as old as Norma
\n" ); document.write( "t=2n ..........(1)
\n" ); document.write( "Three years ago, means we have to subtract 3 from their present ages
\n" ); document.write( "t-3=n-3
\n" ); document.write( "then
\n" ); document.write( "Tessie was three times older than Norma
\n" ); document.write( "t-3=3(n-3)
\n" ); document.write( "t-3=3n-9
\n" ); document.write( "t=3n-9+3
\n" ); document.write( "t=3n-6 ............(2)\r
\n" ); document.write( "\n" ); document.write( "Put the value of t from (1) to (2)
\n" ); document.write( "t=3n-6 ............(2)
\n" ); document.write( "2n=3n-6
\n" ); document.write( "2n-3n=-6
\n" ); document.write( "-n=-6
\n" ); document.write( "Cancel out (-1) from both sides
\n" ); document.write( "n=6
\n" ); document.write( "Put the value of n in (1)
\n" ); document.write( "t=2n
\n" ); document.write( "t=2(6)
\n" ); document.write( "t=12\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Present age of Tessie = t = 12 years
\n" ); document.write( "Present age of Norma = n = 6 years
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