Question

Find the value of x if A, B, and C are collinear points and B is between A and

c.AB=5,BC=3x+7,AC=5x−2

Answer 1

The value of x is 7.

Explanation:

Given,

A, B, and C are col-linear points and B is between A and C,

⇒ AC = AB + BC

We have, AB = 5, BC=3x+7, AC=5x−2

By substituting the value,

`5x - 2 = 5 + 3x + 7`

`5x - 2 = 3x + 12`

`5x - 3x = 12 + 2`

`2x = 14`

⇒
`x = 7`

Hence, the value of x is 7.

Answer 2

As per the given problem, we have

A, B, and C are collinear points and B is between A and C.

Also , we are given that

`AB=5,BC=3x+7,AC=5x-2`

As the point B is between A and C, so only possibility is the point will be the mid point of AC, unless ratio of division is not given.

So we can write

`image`