Question

Помогите решить: В семье динозавров Ваня моложе Славы на 4 года.Миша старше Вани на 2 года, и моложе Даши на 1 год Сейчас всем четверым 25 лет.Сколько будет Даше, когда Ване станет столько лет, сколько Мише сейчас? Мне это надо очень быстро!

Answer 1

Problem Analysis

To solve this problem, we need to determine the ages of Dasha, Vanya, and Misha. We are given the following information: - Vanya is 4 years younger than Slava. - Misha is 2 years older than Vanya. - Misha is 1 year younger than Dasha. - The combined age of all four individuals is 25 years.

Solution

Let's solve this step by step:

1. Let's assume the age of Slava is S years. Since Vanya is 4 years younger than Slava, Vanya's age is S - 4 years. 2. Misha is 2 years older than Vanya, so Misha's age is S - 4 + 2 = S - 2 years. 3. Misha is 1 year younger than Dasha, so Dasha's age is S - 2 + 1 = S - 1 years. 4. The combined age of all four individuals is 25 years, so we can write the equation: S + S - 4 + S - 2 + S - 1 = 25. 5. Simplifying the equation, we get 4S - 7 = 25. 6. Solving for S, we find S = 8. 7. Now that we know Slava's age is 8 years, we can calculate the ages of the other individuals: - Vanya's age is 8 - 4 = 4 years. - Misha's age is 8 - 2 = 6 years. - Dasha's age is 8 - 1 = 7 years.

Therefore, when Vanya becomes the same age as Misha is now (6 years), Dasha will be 7 + 6 = 13 years old.

Answer

Dasha will be 13 years old when Vanya becomes the same age as Misha is now.