document.write( "Question 475810: Nona is one-third as old as her mother. Five years ago, she was only one-fifth of the age of her mother. How old is nona? \n" ); document.write( "

Algebra.Com's Answer #326448 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Nona is one-third as old as her mother.
\n" ); document.write( "n = $\"1%2F3\"$ m
\n" ); document.write( "multiply both sides by 3
\n" ); document.write( "3n = m
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\n" ); document.write( "Five years ago, she was only one-fifth of the age of her mother.
\n" ); document.write( "n - 5 = $\"1%2F5\"$ (m-5)
\n" ); document.write( "multiply both sides by 5
\n" ); document.write( "5(n-5) = m - 5
\n" ); document.write( "5n - 25 = m - 5
\n" ); document.write( "5n = m - 5 + 25
\n" ); document.write( "5n = m + 20
\n" ); document.write( "replace m with 3n
\n" ); document.write( "5n = 3n + 20
\n" ); document.write( "5n - 3n = 20
\n" ); document.write( "2n = 20
\n" ); document.write( "n = $\"20%2F2\"$
\n" ); document.write( "n = 10 yrs old is Nona's age\r
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