Question

A wire 27 cm long is cut into two pieces. The longer piece is 5cm longer than the shorter piece. Find the length of the shorter piece of wire.

Answer 1

27- 5=22 we have 22cm. to work with 22 divided by 2= 11 plus 5= 16 lengths are 16 and 11

Answer 2

The length of the shorter piece of wire is 11 cm.

Explanation:

It is given that a wire 27 cm long is cut into two pieces.

Let the length of shorter piece be x cm.

The longer piece is 5cm longer than the shorter piece. So,

The length of longer piece = x+5 cm

The sum of both pieces is equal to 27.

Shorter piece + Longer piece = 27

`x+(x+5)=27`

On combining like terms.

`(x+x)+5=27`

`2x+5=27`

Subtract 5 from both sides.

`2x=27-5`

`2x=22`

Divide both sides by 2.

`x=11`

Therefore, the length of the shorter piece of wire is 11 cm.