document.write( "Question 891965: Sarah is twice the age Linda is. 6 years ago, Sarah was four times the age of Linda. What was their ages six years ago as well as their ages now?\r
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document.write( "Side note: M'techer sad it ain't 12, 3, 18, and 9. \n" );
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Algebra.Com's Answer #540173 by LinnW(1048)![]() ![]() You can put this solution on YOUR website! Set x = Sarah's current age \n" ); document.write( "Set y = Linda's current age \n" ); document.write( "Sarah's age 6 years ago was (x-6) \n" ); document.write( "Linda's age 6 years ago was (y-6) \n" ); document.write( "x = 2y \n" ); document.write( "(x-6)=4(y-6) \n" ); document.write( "Now substitute 2y for x in the equation above \n" ); document.write( "((2y)-6)=4(y-6) \n" ); document.write( "2y-6 = 4y - 24 \n" ); document.write( "add -4y to each side \n" ); document.write( " -2y - 6 = -24 \n" ); document.write( "add 6 to each side \n" ); document.write( " -2y = -18 \n" ); document.write( "divide each side by -2 \n" ); document.write( " y = 9 \n" ); document.write( "Since x = 2y, x = 18 \n" ); document.write( "Sarah is currently 18 and Linda is 9 \n" ); document.write( "Six years ago they were 12 and 3 \n" ); document.write( "***************** \n" ); document.write( "I am not sure what M'techer is thinking. \n" ); document.write( " \n" ); document.write( " |