Make a sketch.
From "length of segment ac is 5 times the length of segment of bc" it is clear that AC is the longer part.
So call the endpoints of your line A and C and place B between them (doesn't really have to be to scale)
label BC = x
then AC = 5x
and AB = 4x
then it said , " the distance from point a to point b is 8 more than twice the distance from point b to point c " or
AB = 2(BC) + 8
4x = 2x + 8
2x = 8
x = 4
then AC = 5x = 20
By my definitions,
BC = 4
AB = 16
is 16 equal to 8 more than 2x4 ? YES!
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