Question 1039420
Three times the age of Felicia is four more than the age of Asare... 
<pre>
3F = A+4
</pre>
In three years,...
<pre>
In three years Felicia will be F+3
In three years Asare will be A+3
</pre>
...the sum of their ages will be 30 years...
<pre>
F+3 + A+3 = 30 
</pre>
Find their present ages..
<pre>
Simplify, then solve this system of equations
by substitution:

{{{system(3F = A+4,F+3 + A+3 = 30)}}}

Simplify

{{{system(3F = A+4, F+6+A=30)}}}

{{{system(3F = A+4, F+A=24)}}}

Solve the second equation for A

{{{system(3F = A+4, A=24-F)}}}

Substitute 24-F for A in the first equation

{{{3F=24-F+4}}}

Combine like terms on the right

{{{3F=28-F}}}

Add F to both sides:

{{{4F=28}}}

{{{F=7}}}

Substitute 7 for F in

{{{A=24-F}}}

{{{A=24-7}}}

{{{A=17}}}

Edwin</pre></b>