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Sergeeva-Olga [200]
2 years ago
15

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

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.​
Mathematics
1 answer:
dsp732 years ago
8 0

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

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