GH/HI = 1/3 and HI/IJ = 1/2

Question

If the length of GI is 24 then the length of GJ is ________

Answer 1

First problem: label GH as x. Then HI = 3x. Since GI is 24, you have
x + 3x = 24.
4x = 24,
4x/4 = 24/4
so x = 6.
This means that GH = 6 and HI = 18.
Since HI/JI = 1/2, if HI = 18 then
IJ = 36. The length of GJ is
6 + 18 + 36 = 60,
GJ = 60.