Question

Когда Ваня станет вдвое старше, Таня будет на 4 года моложе, чем Аня. В прошлом году Таня была вдвое моложе, чем Аня, и в 3,5 раза моложе, чем Ваня. Сколько сейчас лет Ване? Дайте ответ в годах. (30 баллов)

Answer 1

ваня=4год

решение:4×2=8

8×3,5=28

ответ: Ване сейчас 28 лет по моему

Answer 2

Problem Analysis

We are given the following information: - When Vanya becomes twice as old, Tanya will be 4 years younger than Anya. - Last year, Tanya was twice as young as Anya and 3.5 times younger than Vanya.

We need to determine Vanya's current age.

Solution

Let's assume Vanya's current age is V years, Tanya's current age is T years, and Anya's current age is A years.

From the given information, we can form the following equations:

1. When Vanya becomes twice as old, Tanya will be 4 years younger than Anya: - V + 2 = 2(A + 2) - 4

2. Last year, Tanya was twice as young as Anya and 3.5 times younger than Vanya: - T - 1 = 2(A - 1) - T - 1 = 3.5(V - 1)

We can solve these equations simultaneously to find the values of V, T, and A.

Solving the Equations

Let's solve the equations using substitution:

From equation 1, we have: V + 2 = 2A - 4 V = 2A - 6

Substituting V = 2A - 6 into equation 2, we have: T - 1 = 3.5(V - 1) T - 1 = 3.5(2A - 6 - 1) T - 1 = 3.5(2A - 7) T = 3.5(2A - 7) + 1 T = 7A - 24.5

Substituting V = 2A - 6 and T = 7A - 24.5 into equation 1, we have: 2A - 6 + 2 = 2(A + 2) - 4 2A - 4 = 2A + 4 - 4 2A - 4 = 2A 0 = 4

The equation 0 = 4 is not possible, which means there is no solution that satisfies all the given conditions. It seems there is an error in the problem statement or the given information is inconsistent.

Please double-check the information provided and let me know if there are any corrections or additional details.