<PRE><B>Question 1202870</B>
&lt;br&gt;
When the given information in a problem includes a ratio, the amount of work needed to solve the problem is nearly always less if you use that ratio to set up the problem.  In this problem, given the ratio 5:2 of their current ages....&lt;br&gt;
Let 5x = Kim&#39;s age
Let 2x = daughter&#39;s age&lt;br&gt;
Then&lt;br&gt;
5x-4 = Kim&#39;s age 4 years ago
2x-4 = daughter&#39;s age 4 years ago&lt;br&gt;
The ratio of their ages 4 years ago was 3:1.&lt;br&gt;
{{{5x-4=3(2x-4)}}}
{{{5x-4=6x-12}}}
{{{x=8}}}&lt;br&gt;
Kim&#39;s age now is 5x = 40; 6 years from now it will be 46.&lt;br&gt;
ANSWER: 46&lt;br&gt;
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