Question

Один кусок проволоки на 24 м длиннее другого. После того как от каждого куска отрезали по 10 м, второй кусок оказался в 2 раза короче первого. Какой длины были куски проволоки? ПОМОГИТЕ ПОЖАЛУЙСТА

Answer 1

1кусок - х
2 кусок - у
После отрезания 10 м
1 кусок - (х-10)
2 кусок - (у-10)Первое подставляем во второе
y+24=2y-10
y=34x=y+24
x=34+24=58

Answer 2

Problem Analysis

We are given two pieces of wire, where one piece is 24 meters longer than the other. After cutting 10 meters from each piece, the second piece becomes twice as short as the first piece. We need to find the lengths of the two pieces of wire.

Solution

Let's assume the length of the first piece of wire is x meters. According to the problem, the second piece of wire is 24 meters longer, so its length is x + 24 meters.

After cutting 10 meters from each piece, the first piece will be x - 10 meters long, and the second piece will be (x + 24) - 10 meters long.

According to the problem, the second piece is twice as short as the first piece after cutting. Mathematically, we can express this as:

(x + 24) - 10 = 2(x - 10)

Now, let's solve this equation to find the value of x.

(x + 24) - 10 = 2(x - 10)

Simplifying the equation:

x + 14 = 2x - 20

Bringing 2x to the left side and 14 to the right side:

x - 2x = -20 - 14

Simplifying further:

-x = -34

Multiplying both sides by -1 to get x:

x = 34

So, the length of the first piece of wire (x) is 34 meters.

Now, we can find the length of the second piece of wire by substituting the value of x into the equation:

Length of the second piece = x + 24 = 34 + 24 = 58 meters

Therefore, the lengths of the two pieces of wire are 34 meters and 58 meters.

Answer

The lengths of the two pieces of wire are 34 meters and 58 meters.