Question

В одном мешке было в 3 раза больше муки, чем в другом. Когда из первого мешка взяи 4 кг муки, а во второй добавили 2 кг, то в мешках муки стало поровну. Сколько килограммов муки было в каждом мешке сначала?

Answer 1

Составим уравнение :
x +2=3x-4
думаю тут понятно.
теперь решаем 
x-3x=-4-2
-2x=-6
x=3
3 кг-в первом
3x=9 - 9 кг во втором мешке 
Ответ: 3 кг; 9 кг;

Answer 2

Problem Analysis

To solve this problem, we need to set up a system of equations based on the given information and then solve for the unknown quantities.

Let's denote: - the amount of flour in the first bag as x kg, - the amount of flour in the second bag as y kg.

From the given information, we can form the following equations: 1. x = 3y (There was three times more flour in the first bag than in the second bag) 2. (x - 4) = (y + 2) (When 4 kg of flour was taken from the first bag and 2 kg was added to the second bag, the amounts of flour became equal)

Solution

Using the first equation, we can express x in terms of y: x = 3y

Substitute this expression for x into the second equation: (3y - 4) = (y + 2)

Solving for y: 3y - 4 = y + 2 3y - y = 2 + 4 2y = 6 y = 3

Now that we have found the value of y, we can find the value of x using the first equation: x = 3y x = 3*3 x = 9

So, the amount of flour in the first bag initially was 9 kg, and in the second bag was 3 kg.

Therefore, initially, there were 9 kg of flour in the first bag and 3 kg of flour in the second bag.

This solution satisfies both the given conditions and is consistent with the information provided.

Answer: The first bag initially contained 9 kg of flour, and the second bag initially contained 3 kg of flour.