Question

Дети решили сравнивать свои возраста. Дима говорит: "Я на 2 года старше Вася". Боря говорит: "Петя вдвое старше меня". Леша говорит: "Я на год младше Саша". Саша говорит: "Я на 4 года старше Васи". Петя говорит: "Я на 2 года старше Леши". Сколько кому лет?

Answer 1

Вася-3, саша-7, лёша-6, петя-8, дима-5, боря-4

Answer 2

Given Information:

- Dimа says, "I am 2 years older than Vasya." - Borya says, "Petya is twice as old as me." - Leshа says, "I am 1 year younger than Sasha." - Sasha says, "I am 4 years older than Vasya." - Petya says, "I am 2 years older than Leshа."

Solution:

To find the ages of each person, we can assign variables to their ages and solve the system of equations.

Let's assume: - Dimа's age is D - Vasya's age is V - Borya's age is B - Petya's age is P - Leshа's age is L - Sasha's age is S

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

1. Dimа says, "I am 2 years older than Vasya." This can be written as: D = V + 2.2. Borya says, "Petya is twice as old as me." This can be written as: P = 2B.3. Leshа says, "I am 1 year younger than Sasha." This can be written as: L = S - 1.4. Sasha says, "I am 4 years older than Vasya." This can be written as: S = V + 4.5. Petya says, "I am 2 years older than Leshа." This can be written as: P = L + 2. Now, let's solve the system of equations:

Substituting equation 4 into equation 3, we get: L = (V + 4) - 1 = V + 3.

Substituting equation 5 into equation 2, we get: L + 2 = 2B.

Substituting equation 1 into equation 4, we get: S = (V + 2) + 4 = V + 6.

Substituting equation 1 into equation 5, we get: P = (V + 2) + 2 = V + 4.

Substituting equation 3 into equation 5, we get: P = (V + 3) + 2 = V + 5.

Now, we have two equations for P: - P = V + 4 - P = V + 5

Since these two equations contradict each other, there is no consistent solution for the ages of the children based on the given information.

Therefore, we cannot determine how old each child is based on the information provided.