a 10m piece of wire is cut into two pieces one piece is 2m longer than the other. how long are the pieces?
To solve this problem, we can set up an equation and solve for the lengths of the two pieces. Let's assume the length of one piece is x meters. According to the problem, the other piece is 2 meters longer, so its length is x + 2 meters.
Now, we know that when the two pieces are combined, they should add up to 10 meters. Therefore, we can write the equation:
x + (x + 2) = 10
Simplifying the equation, we get:
2x + 2 = 10
Subtracting 2 from both sides:
2x = 8
Dividing both sides by 2:
x = 4
So, one piece is 4 meters long, and the other piece is 2 meters longer, making it 4 + 2 = 6 meters long.
Therefore, the two pieces are 4 meters and 6 meters long, respectively.
If the shorter piece has length x, then
x + x+2 = 10
Solve for x and then figure x+2