Question

Point B is on line segment AC. Given AB = 2a + 10, BC= a, and AC = 5a,

determine the numerical length of AC.

Answer 1

Ans

We know that,

AC = AB + Bc

AB = 2x + 10, BC = x, and AC = 5x,

5x = 2x + 10 + x

5x = 3x + 10

2x = 10

x = 5

So,

AC = 5x

AC = 5(5) = 25 units.

thereforex=25

Answer 2

Since AC is made up of AB and BC,

AB + BC = AC

(2a + 10) + a = 5a

3a + 10 = 5a

2a = 10

a = 5

Subt value of a into AC

AC = 5(5) = 25