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)![]() ![]() You can put this solution on YOUR website! 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 \n" ); document.write( " \n" ); document.write( " |