Question

Один кусок проволоки на 54 м длиннее другого. После того как от каждого из кусков отрезали по 12 м, другой кусок стал в 4 раза короче первого. Найдите длину каждого куска проволоки.

Answer 1

1) первый изначально - х+54, тогда второй a 
(х-54)=a+54-12
х-216=х+42
х=216+42
х=258
х=86

первый изначально = 140 м
второй = 86 м

Answer 2

Первый надо 54 отнять 12 будет =42 значит первый 42 м а второй 38 метров

Answer 3

Problem Analysis

We are given two pieces of wire, one of which is 54 meters longer than the other. After cutting 12 meters from each piece, the remaining piece is 4 times shorter than the other. We need to find the length of each piece of wire.

Solution

Let's assume the length of the shorter piece of wire is x meters. According to the problem, the longer piece of wire is 54 meters longer, so its length is x + 54 meters.

After cutting 12 meters from each piece, the remaining length of the shorter piece is x - 12 meters, and the remaining length of the longer piece is (x + 54) - 12 meters.

According to the problem, the remaining length of the longer piece is 4 times shorter than the remaining length of the shorter piece. So we can write the equation:

(x + 54) - 12 = 4(x - 12)

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

Solving the Equation

Expanding the equation, we get:

x + 54 - 12 = 4x - 48

Simplifying the equation, we get:

x + 42 = 4x - 48

Bringing the variables to one side and the constants to the other side, we get:

x - 4x = -48 - 42

Simplifying further, we get:

-3x = -90

Dividing both sides of the equation by -3, we get:

x = 30

Finding the Length of Each Piece

Now that we have found the value of x, we can substitute it back into our equations to find the length of each piece of wire.

The length of the shorter piece is x = 30 meters.

The length of the longer piece is x + 54 = 30 + 54 = 84 meters.

Therefore, the length of the shorter piece of wire is 30 meters, and the length of the longer piece of wire is 84 meters.

Answer

The length of each piece of wire is as follows: - The shorter piece of wire is 30 meters long. - The longer piece of wire is 84 meters long.