Ms Cohen gave a riddle: A string is 2 meters longer than a rod. Half of the rod is 1 meter shorter than half of the string. Is this true or false?

We are going to define the following variables.

y: length of the string.

x: length of the rod.

We have the following equation:

y = x + 2

Half of the rod is 1 meter shorter than half of the string

x/2 = y/2-1

Let's rewrite equation 1 to see if it's true:

y = x + 2

(1/2) * y = (1/2) * (x + 2)

(1/2) * y = (1/2) * x + 1

(1/2) * x = (1/2) * y-1

Answer

this is true

(1/2) * x = (1/2) * y-1