<PRE><B>Question 1130579</B>
The sum of the present ages of Arie and her mother is 64 years:&lt;br&gt;

Arie&#39;s age = A
Mother&#39;s age = 64-A&lt;br&gt;

In eight years, the sum of their ages will be three-fifths as old as her mother at that time:&lt;br&gt;

3/5*((A+8) + (64-A+8)) = 64-A+8&lt;br&gt;

Simplify:&lt;br&gt;

3/5*(80) = 72-A&lt;br&gt;

48 = 72-A&lt;br&gt;

-24 = -A&lt;br&gt;

A = 24&lt;br&gt;

Arie&#39;s age = A = 24
Mother&#39;s age = 64-A = 40</PRE>