Question

Один кусок проволки на 54 м длиннее другого. после того как от каждого куска отрезали по 12 м, второй кусок оказался в 4 раза короче первого. найдите первоначальную длину каждого куска проволки

Answer 1

один кусок - х

другой х+54

когда от каждого отрезали по х-12  и (х+54)-12 и один стал короче в 4 раза получаем

то (х-12)*4=(х+54)-12

4х-48=х+42

3х=90

х=30 м один кусок

84 м другой

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Answer 2

Пусть 1й кусок - X метров тогда 2й - x+54 метра. Отрезали по 12 м. 1й - x-12, 2й - 4•((x+54)-12). Сост. и решим уровн:
X-12=4•((x+54)-12); раскрываем скобки и приводим подобные!

Answer 3

Problem Analysis

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

Solution

Let's assume the initial length of the first piece of wire is x meters. Since the second piece is 54 meters longer, its initial length is x + 54 meters.

After cutting 12 meters from each piece, the first piece becomes x - 12 meters long, and the second piece becomes (x + 54) - 12 meters long.

According to the problem, the second piece is 4 times shorter than the first piece. This can be expressed as:

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

To solve this equation, we can simplify it:

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

x + 42 = (x - 12) / 4

Now, we can cross-multiply to eliminate the fraction:

4(x + 42) = x - 12

Simplifying further:

4x + 168 = x - 12

4x - x = -12 - 168

3x = -180

x = -180 / 3

x = -60

Since the length of a wire cannot be negative, we can conclude that there is no valid solution for this problem.