Question

Point G lies between points F and H on Line segment F H.

A line contains points F, G, H. The space between F and G is 4 x. The space between G and H is 2 x.
If the length of FH is 18 units, what is the value of x?

3
4
6
12

Answer 1

3 is the answer.
As 4x+2x=18
x=18/6
x=3.

Answer 2

Given :-

• Point G lies between points F and H on Line segment FH.
• The space between F and G is 4 x.
• The space between G and H is 2 x.
• The length of FH is 18 units.

To Find :- value of x ?

Solution :-

As we have given that , Point G lies between points F and H on Line segment FH.

So, Distance of G from both F and H is Equal to total length of line segment FH.

→ FG + GH = FH

we have given that,

• FG = 4x
• GH = 2x
• FH = 18 units.

So, Putting all values we get,

→ 4x + 2x = 18

→ 6x = 18

Dividing both sides by 6,

→ x = 3 .

Hence, value of x is 3.