Question

Given AC = 8x+2
DC = 3x
AD = 24

Find X
Find AC
Find CD

Answer 1

x = 2

Explanation:

Given AC = 8x + 2

DC = 3x

AD = 24

AD = AC + DC

⇒
`$ 24 = 8x + 2 + 3x $`

`$ \implies 24 = 11x + 2 $`

`$ \implies 22 = 11x $`

Dividing by 11 throughout,

`$ x = 2 $`

We get x = 2.