document.write( "Question 268953: Marie is one-nineth as old as her mother. In 3 years she will be one-fifth as old as her mother will be then. Find their present ages. \n" ); document.write( "

Algebra.Com's Answer #197081 by drk(1908) $\"\"$ $\"About$

You can put this solution on YOUR website!
(i) $\"Ma+=+%281%2F9%29Mo\"$
\n" ); document.write( "(ii) $\"+%28ma+%2B+3%29+=+%281%2F5%29%2A%28mo+%2B+3%29\"$
\n" ); document.write( "from (i) we get
\n" ); document.write( "(iii) $\"9ma+=+Mo\"$
\n" ); document.write( "substitute this into (ii) we get
\n" ); document.write( "(iv) $\"%28ma+%2B+3%29+=+%281%2F5%29%2A%289ma+%2B+3%29\"$
\n" ); document.write( "distribute to get
\n" ); document.write( "(v) $\"%28ma+%2B+3%29+=+%289%2F5%29%2Ama+%2B+3%2F5%29\"$
\n" ); document.write( "subtract ma and subtract 3/5 to get
\n" ); document.write( "(vi) $\"12%2F5+=+%284%2F5%29ma\"$
\n" ); document.write( "multiply by 5 to get
\n" ); document.write( "(vii) $\"12+=+4ma\"$
\n" ); document.write( "divide by 4 to get
\n" ); document.write( "maria = 3
\n" ); document.write( "mother = 27 \n" ); document.write( "

\n" );