A wire 32 cm long is cut into two pieces. The longer piece is 2 cm longer than the shorter piece what is the length of the shorter in cm

Answer 1

First, we will denote the longer piece as "l" and the shorter piece as "s". We know that l + s = 32cm.

if the longer piece is 2cm longer than the shorter piece then mathematically, l = s + 2.

We can now substitute this in the original equation ==> (s + 2) + s = 32.

Combine like terms ==> 2s + 2 = 32

Solve for s ==> 2s + 2 = 32 ==> 2s = 30 ==> s = 15

Now plug this back into the original equation. l + 15 = 32.

Solve for l ==> l + 15 = 32 ==> l = 17

Therefore the answer is that one piece is 17cm long and the other is 15cm long.