Question

В два сарая сложили сено ,причем в первый сарай в 3 раза больше , чем во второй. После того как из первого сарая увезли 20 тонн ,а во второй привезли 10 тонн ,в обоих сараях сена стало поровну. Сколько тонн сена было в каждом сарае перво начально?

Answer 1

Х т. привезли во второй сарай
3х - в первый сарай
3х-20=х+10
3х-х=10+20
2х=30
х=30/2
х=15 т. - во втором сарае
15*3=45 т. - в первом сарае

Answer 2

Problem Analysis

We are given two barns where the amount of hay in the first barn is three times greater than the amount in the second barn. After 20 tons of hay are removed from the first barn and 10 tons are added to the second barn, the amount of hay in both barns becomes equal. We need to determine the initial amount of hay in each barn.

Solution

Let's assume the initial amount of hay in the second barn is x tons. According to the problem, the first barn has three times more hay than the second barn, so the initial amount of hay in the first barn is 3x tons.

After 20 tons of hay are removed from the first barn, the amount of hay in the first barn becomes 3x - 20 tons. Similarly, after 10 tons of hay are added to the second barn, the amount of hay in the second barn becomes x + 10 tons.

According to the problem, the amount of hay in both barns becomes equal after these operations. Therefore, we can set up the following equation:

3x - 20 = x + 10

Simplifying the equation, we get:

2x = 30

Dividing both sides of the equation by 2, we find:

x = 15

So, the initial amount of hay in the second barn was 15 tons. Since the first barn has three times more hay than the second barn, the initial amount of hay in the first barn was 3 * 15 = 45 tons.

Answer

The initial amount of hay in the first barn was 45 tons, and the initial amount of hay in the second barn was 15 tons.