Question

Кот Вася на 4 кг худее, чем кот Виталий, и в 2 раз легче, чем кот Степан. Вася и Степан вместе в 2 раза тяжелее, чем Виталий. Найди вес каждого кота. Ответ: Кот Вася — кг. Кот Виталий — кг. Кот Степан — кг. плиз помогите

Answer 1

Надеюсь, что все понятно

Answer 2

Problem Analysis

We are given information about the weights of three cats: Vasya, Vitaliy, and Stepan. We know that Vasya is 4 kg lighter than Vitaliy and twice as light as Stepan. Additionally, the combined weight of Vasya and Stepan is twice the weight of Vitaliy. We need to find the weight of each cat.

Solution

Let's assume the weight of Vitaliy is x kg. Based on the given information, we can derive the following equations:

1. Vasya's weight = Vitaliy's weight - 4 kg 2. Vasya's weight = Stepan's weight / 2 3. Vasya's weight + Stepan's weight = 2 * Vitaliy's weight

We can solve these equations to find the weights of the cats.

Calculation

Let's solve the equations step by step:

1. Vasya's weight = Vitaliy's weight - 4 kg 2. Vasya's weight = Stepan's weight / 2 3. Vasya's weight + Stepan's weight = 2 * Vitaliy's weight

Substituting equation 1 into equation 2: (Vitaliy's weight - 4 kg) = Stepan's weight / 2

Substituting equation 1 into equation 3: (Vitaliy's weight - 4 kg) + Stepan's weight = 2 * Vitaliy's weight

Simplifying equation 3: Stepan's weight - 4 kg = Vitaliy's weight

Substituting this back into equation 2: (Vitaliy's weight - 4 kg) = (Vitaliy's weight) / 2

Simplifying equation 2: 2 * (Vitaliy's weight - 4 kg) = Vitaliy's weight

Expanding equation 2: 2 * Vitaliy's weight - 8 kg = Vitaliy's weight

Simplifying equation 2: Vitaliy's weight = 8 kg

Now, we can substitute this value back into equation 1 to find Vasya's weight: Vasya's weight = Vitaliy's weight - 4 kg Vasya's weight = 8 kg - 4 kg Vasya's weight = 4 kg

Finally, we can substitute the values of Vitaliy's weight and Vasya's weight into equation 3 to find Stepan's weight: Vasya's weight + Stepan's weight = 2 * Vitaliy's weight 4 kg + Stepan's weight = 2 * 8 kg Stepan's weight = 16 kg - 4 kg Stepan's weight = 12 kg

Answer

Based on the given information, the weights of the cats are as follows: - Vasya: 4 kg - Vitaliy: 8 kg - Stepan: 12 kg