One piece of wire is 24 m longer than the other. After 10 m were cut from each piece, the second piece

One piece of wire is 24 m longer than the other. After 10 m were cut from each piece, the second piece was 2 times shorter than the first. How long the pieces of wire were.

1. Let the first piece of wire be x meters, then the other was x – 24 meters.
2. Let’s compose an equation according to the condition of the problem:
x – 10 = 2 * ((x – 24) – 10),
x – 10 = 2 * (x – 34),
x – 10 = 2x – 68,
68 – 10 = 2x – x,
58 = x,
x = 58.
3. Find the length of the second piece of wire:
58 – 24 = 34 m.
Answer: The first piece of wire was 58 m, and the second 34 m.