Question

В одной бочке в два раза брльше воды,чем в другой.Если из первой бочки вылить 78 л воды, а во вторую добавить 42л,то воды в бочках станет поровну.Сколько воды в каждой бочке?

Answer 1

Problem Analysis

We have two barrels, one with twice the amount of water as the other. If we pour 78 liters of water from the first barrel and add 42 liters to the second barrel, the water in the barrels will be equal. We need to find out how much water is in each barrel.

Solution

Let's assume the amount of water in the first barrel is x liters. According to the problem, the second barrel has twice the amount of water, so it would have 2x liters.

When we pour 78 liters from the first barrel, the amount of water left in the first barrel would be x - 78 liters. When we add 42 liters to the second barrel, the amount of water in the second barrel would be 2x + 42 liters.

According to the problem, the water in the barrels will be equal after these operations. Therefore, we can set up the following equation:

x - 78 = 2x + 42

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

x - 2x = 42 + 78

-x = 120

x = -120

Since we cannot have a negative amount of water, it seems there is no solution to this problem. Please double-check the information provided in the problem statement.

If you have any further questions, feel free to ask.