Question

4. If AB = ​x​ + 3, BC = 2​x​ and AC = 4​x​ – 5, then for what value of ‘​x​’, B lies on AC?

a) 2
b) 3
c) 5
d) 8

Answer 1

Answer:

8

Step-by-step explanation:

The value of x is 8

Step-by-step explanation:

Step 1:

Given Data

AB = x + 3,

BC = 2x,  

AC = 4x - 5,

If B lies on AC

So, AB + BC = AC  

Step 2:  

x + 3 + 2x = 4x - 5

3x + 3 = 4x – 5

Step 3:  

3x - 4x = - 5 - 3

- x = - 8

x = 8

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