A wire 16 cm long is cut into two pieces. The longer piece is 2 cm longer than the shorter piece.

Find the length of the shorter piece of wire

The length of the shorter piece of wire is 7cm

Step-by-step explanation:

Let us assume that wire is cut into two parts of lengths x and y

Here x is the length of shorter piece and y is the length of longer piece.

Also given that y=x+2

x+y=16cm

From above equations we can write

x+x+2 = 2x+2 = 16

2x = 14

x = 7cm