<PRE><B>Question 1209904</B>
&lt;br&gt;
Simon is one-fifth of Danielle&#39;s age -- i.e., Danielle is 5 times as old as Simon:&lt;br&gt;
Let x be Simon&#39;s age
Then Danielle&#39;s age is 5x.&lt;br&gt;
In 6 years, their ages will be x+6 and 5x+6.  At that time, Simon will be one-third as old as Danielle -- i.e., she will be 3 times as old as he is:&lt;br&gt;
{{{5x+6=3(x+6)}}}
{{{5x+6=3x+18}}}
{{{2x=12}}}
{{{x=6}}}&lt;br&gt;
Simon&#39;s age is x = 6
Danielle&#39;s age is 5x = 30&lt;br&gt;
ANSWER: Danielle is 30&lt;br&gt;
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