Question

Find the value of x if A, B, and C are collinear points and B is between A and C.AB=x+6,BC=3x−5,AC=36−xA. 6B. 14C. 12D. 7

Answer 1

Since A, B and C are collinear, they lie on a straight line. From the information given,

AB + BC = AC

AB = x + 6

BC = 3x - 5

AC = 36 - x

Thus,

x + 6 + 3x - 5 = 36 - x

x + 3x + 6 - 5 = 36 - x

4x + 1 = 36 - x

4x + x = 36 - 1

5x = 35

x = 35/5

x = 7

Option D is correct