A rubber tube 120 cm long is cut into two pieces so that the longer piece is 45 cm longer than twice the length of the shorter piece. What is the length of the shorter piece?

Answer 1

Let's call the length of the shorter piece "x".

We know that the longer piece is 45 cm longer than twice the length of the shorter piece, so we can write an equation:

longer piece = 2x + 45

We also know that the total length of the rubber tube is 120 cm, so we can write another equation:

longer piece + shorter piece = 120

Now we can substitute the first equation into the second equation:

(2x + 45) + x = 120

Simplifying this, we get:

3x + 45 = 120

Subtracting 45 from both sides:

3x = 75

Dividing by 3:

x = 25

So the length of the shorter piece is 25 cm.