Question 1204032
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As it is worded, printed and presented in the post, the problem is INCOMPLETE.


To be complete, it should say that the point G lies on the straight line between
the points F and H. I will assume it, by default.


<pre>
Then FG + GH = FH, or

    (x+3) + (4x) = 8.


It implies

    5x = 8 - 3

    5x = 5

     x = 5/5 = 1

    FG = x+3 = 1 + 3 = 4.


<U>ANSWER</U>.  Under the accepted assumption, FG = 4.
</pre>

Solved.