Question

Орехи разложили в два пакета поровну.Когда из первого пакета переложили во второй 12 орехов ,в первом пакете орехов стало в трое меньше, чем во втором. Сколько орехов было в каждом пакете первоначально?

Answer 1

3(х-12)=х+12

3х-36=х=12

2х=48

х=24

ответ: 24 ореха

Answer 2

Problem Analysis

We are given that a certain number of nuts were divided into two equal packets. Then, 12 nuts were transferred from the first packet to the second, resulting in the first packet having three times fewer nuts than the second packet. We need to determine the initial number of nuts in each packet.

Solution

Let's assume that the initial number of nuts in each packet is x. After transferring 12 nuts from the first packet to the second, the first packet will have x - 12 nuts, and the second packet will have x + 12 nuts.

According to the problem, the first packet has three times fewer nuts than the second packet. Mathematically, this can be represented as:

x - 12 = (x + 12) / 3

To solve this equation, we can simplify it by multiplying both sides by 3:

3(x - 12) = x + 12

Expanding the equation:

3x - 36 = x + 12

Simplifying further:

3x - x = 12 + 36

2x = 48

Finally, solving for x:

x = 48 / 2 = 24

Therefore, the initial number of nuts in each packet was 24.

Answer

The initial number of nuts in each packet was 24.