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.