document.write( "Question 185943: 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 #139420 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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L = Lina's present age
\n" ); document.write( "A = Anita's present age\r
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\n" ); document.write( "\n" ); document.write( "Just write an equation for what it says:
\n" ); document.write( ":
\n" ); document.write( "lina is 1\3 times as old as anita.
\n" ); document.write( "L = $\"1%2F3\"$ A
\n" ); document.write( "or
\n" ); document.write( "3L = A
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\n" ); document.write( "six years ago she was 1\9 as old as anita.
\n" ); document.write( "L - 6 = $\"1%2F9\"$ (A - 6)
\n" ); document.write( "Multiply both sides by 9; results:
\n" ); document.write( "9(L-6) = A - 6
\n" ); document.write( "9L - 54 = A - 6
\n" ); document.write( "9L = A - 6 + 54
\n" ); document.write( "9L = A + 48
\n" ); document.write( ":
\n" ); document.write( "remember 3L = A so we have:
\n" ); document.write( "9L = 3L + 48
\n" ); document.write( "9L - 3L = 48
\n" ); document.write( "6L = 48
\n" ); document.write( "L = 48/6
\n" ); document.write( "L = 8 yrs is Lina's age
\n" ); document.write( "and
\n" ); document.write( "3(8) = 24 yrs is Anita's age
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\n" ); document.write( ":
\n" ); document.write( "Check solution in the statement:
\n" ); document.write( "\"six years ago she was 1\9 as old as anita.\"
\n" ); document.write( "8 - 6 = $\"1%2F9\"$ (24-6)
\n" ); document.write( "2 = $\"1%2F9\"$ (18)\r
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