If AB=x+3,BC=2x and AC=4x-5, then for what value of ' x ' does B lie on AC ?

Correct option is C

Given:
AB = x + 3, BC = 2x and AC = 4x - 5
Solution:
According to the given information,
=> AB + BC = AC
Putting the values of the given number,
=> x + 3 + 2x = 4x - 5
=> 3x + 3 = 4x - 5
=> 4x - 3x = 3 + 5
=> x = 8