Geometry text book question

Question

Given B and C trisect AD, where B is between A and C. If AC= 4x-2 and CD= x+4, find AD.

Answer 1

Since B and C trisect AD, then AC is twice CD.

4x - 2 = 2 * (x+4)

4x - 2 = 2x + 8

2x = 10

x=5

so CD = 9 and AD (which is 3 times CD) = 27

Answer 2

Hi Shelly. Assuming all points are on the same line, you only need to add the binomials.

So 4x - 2 + x + 4 = 5x + 2, your answer.

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