Question

An auto shop has 2 used vehicles for sale, 1 car and 1 truck. The truck is 3 years older than the car but 7 years older than one-half the car’s age. How many years old is the car?

Answer 1

The car is 13 years old

Explanation:

Lets say Car is x and the Truck is y, so the trucks age = x + 3 = y

Lets find the value of the Car or x

x + 3 = 1/2(x + 7)------- >

first we will divide x by 1/2 and 7 by 1/2, So...

x + 3 = (x / 1/2 + 7 / 1/2)------- >

x + 3 = 1/2x + 3.5------->

next Isolate variable x,

x + 1/2x = 3 + 3.5

1/2x = 6.5, So...

x = 13 and in turn, y = 13 + 3

:)

Answer 2

Ask go glle .....might help