Question 1009815
Second sentence is less common but can be symbolized.


s and k for Stephanie and Kate;



<pre>
              Now         Five years ago        Fifteen years from now   Two years ago
Stepahnie     s           s-5                    s+15
Kate          k           k-5                    k+15                     k-2
</pre>


<i>Five years ago Stephanie was four times as old as her daughter Kate</i>
{{{s-5=4(k-5)}}}
{{{s-5=4k-20}}}
{{{s-4k=5-20}}}
{{{4k-s=15}}}


<i>In 15 years, Stephanie will be five times as old as Kate 2 years ago</i>
{{{s+15=5(k-2)}}}
{{{s+15=5k-10}}}
{{{s-5k=-15-10}}}
{{{5k-s=25}}}


The described situation can be summarized with the system of equations,
{{{system(4k-s=15,5k-s=25)}}}.
Solve the system for k and s.