document.write( "Question 185942: lina is 1\3 times as old as anita. six years ago she was 1\9 as old as anita .what is the present age of anita? of Lina?
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Algebra.Com's Answer #139456 by feliz1965(151) ![]() You can put this solution on YOUR website! Lina's present age = x/3\r \n" ); document.write( "\n" ); document.write( "Anita's present age = x\r \n" ); document.write( "\n" ); document.write( "Lina's age 6 years ago = (x/3) - 6\r \n" ); document.write( "\n" ); document.write( "Then (x/3) - 6 = (x/9)....This equation came from the words \"Six years ago, she was 1\9 as old as Anita.\" \r \n" ); document.write( "\n" ); document.write( "(x/3) - 6 = (x/9)....We now mutiply both sides of the equation by 9 to remove the fractions. \r \n" ); document.write( "\n" ); document.write( "Afterward, we get this:\r \n" ); document.write( "\n" ); document.write( "3x - 54 = x\r \n" ); document.write( "\n" ); document.write( "3x - x = 54\r \n" ); document.write( "\n" ); document.write( "2x = 54\r \n" ); document.write( "\n" ); document.write( "x = 27\r \n" ); document.write( "\n" ); document.write( "Anita is 27 years old. Lina is 1/3 times 27 or 9 years old.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |