Question

В первом ящике в 2 раза больше килограммов гвоздей, чем во втором. После того как из первого ящика взяли 5 кг гвоздей, а из второго 10 кг, в первом стало в 3 раза больше гвоздей, чем во вто-ром. Сколько килограммов гвоздей было в двух ящиках ?

Answer 1

Х-кг в первом ящике
у-кг во втором ящике
х=2у первое условие
х-5=3(у-10)
2у-5=3у-30
у=25кг во втором ящике
х=2у=2*25=50кг в первом ящике
50+25=75кг в двух ящиках

Answer 2

Problem Analysis

We are given two boxes, and the weight of nails in the first box is twice the weight of nails in the second box. After taking 5 kg of nails from the first box and 10 kg of nails from the second box, the first box ends up with three times the number of nails as the second box. We need to determine the total weight of nails in both boxes.

Solution

Let's assume the weight of nails in the second box is x kg. According to the problem, the weight of nails in the first box is twice the weight of nails in the second box, so it is 2x kg.

After taking 5 kg of nails from the first box, the weight of nails in the first box becomes 2x - 5 kg. After taking 10 kg of nails from the second box, the weight of nails in the second box becomes x - 10 kg.

According to the problem, the weight of nails in the first box is three times the weight of nails in the second box after the above operations. So, we can write the equation:

2x - 5 = 3(x - 10)

Let's solve this equation to find the value of x, which represents the weight of nails in the second box.

2x - 5 = 3x - 30 x = 25

Therefore, the weight of nails in the second box is 25 kg. Since the weight of nails in the first box is twice the weight of nails in the second box, the weight of nails in the first box is 2 * 25 = 50 kg.

So, the total weight of nails in both boxes is 25 kg + 50 kg = 75 kg.

Answer

The total weight of nails in both boxes is 75 kg.