A wire 20 cm long is cut into two pieces. The longer piece is 4 cm longer than the shorter piece.

Subtract and you will find your answer

A wire 35 cm long is cut into two pieces. The longer piece is 5 cm longer than the shorter piece.

To solve this problem, we can use algebraic expressions. Let's say the length of the shorter piece is x cm.

According to the problem, the longer piece is 4 cm longer than the shorter piece. Therefore, the length of the longer piece is x + 4 cm.

We know that the total length of the wire is 20 cm. So, we can write the equation:

x + (x + 4) = 20

Simplifying the equation:

2x + 4 = 20

Subtracting 4 from both sides of the equation:

2x = 16

Dividing both sides of the equation by 2:

x = 8

Thus, the length of the shorter piece is 8 cm.

To find the length of the longer piece, we substitute x = 8 into our expression x + 4:

8 + 4 = 12

Therefore, the length of the longer piece is 12 cm.