A wire with a length of 100 cm is cut into three parts. The length of wire of the first and second parts are the same. The lengt

Question

2 years ago

15

h of the third part of the wire exceeds the sum of the first two parts by 4 cm. Calculate the length of each part.

1 answer:

dsp73 · Answer 1 · 2022-09-15T08:59:44+03:00

The first two pieces are the same, let each of those equal x, so you have x + x = 2x

The 3rd piece is the sum of the first two + 4, so this would be 2x + 4

Now you have 2x + 2x + 4 = 100 cm

Combine like terms:

4x +4 = 100

Subtract 4 from both sides

4x = 96

Divide both sides by 4

X = 24

First piece is 24 cm

Second piece is 24 cm

Third piece is 52 cm