Question

Solve for x
A) 42
B) 40
C) 45
D) 38

Answer 1

x = 40

Explanation:

Using similarity theorem, we have the following:

`(24)/(24 - 15) = (x)/(x - 25)`

Solve for x

`(24)/(9) = (x)/(x - 25)`

Cross multiply

`24(x - 25) = x(9)`

`24x - 600 = 9x`

Subtract 24x from each side

`- 600 = 9x - 24x`

`- 600 = -15x`

Divide both sides by -15

40 = x

x = 40