Question 991832
<pre>
Gwenn one fourth as old as her mother.
 
{{{G}}}{{{""=""}}}{{{expr(1/4)M}}}

Clear the fraction by multiplying both sides by 4

{{{4G}}}{{{""=""}}}{{{M}}}
</pre>
Six years ago, she was one tenth as old as her mother. 
<pre>
Six years ago she was G-6 and her mother was M-6
</pre>
...she was one tenth as old as her mother. 
<pre>
{{{G-6}}}{{{""=""}}}{{{expr(1/10)(M-6)}}}

Clear the fraction by multiplying both sides by 10

{{{10G-60}}}{{{""=""}}}{{{M-6}}}

{{{10G-M}}}{{{""=""}}}{{{54}}}

{{{10(G-6)}}}{{{""=""}}}{{{M-6)}}}

{{{10G-60}}}{{{""=""}}}{{{M-6}}}

{{{10G-M}}}{{{""=""}}}{{{54}}}

So you have this system of equations:

{{{system(4G=M,10G-M=54)}}}

Solve that by substitution and you get that 
Gwenn is 9, and her mother is 36.

Edwin</pre>