Question

сколько лет твоему отцу спросили у пети.он ответил так:я втрое моложе папы ,но втрое старше сестры а папе и сестре вместе 50 лет.сколько лет папе?

Answer 1

Problem Analysis

We are given the following information: - Petya said, "I am three times younger than my father, but three times older than my sister." - The combined age of Petya's father and sister is 50 years.

We need to determine the age of Petya's father.

Solution

Let's assume Petya's father's age is x years. Based on the given information, we can set up the following equations:

1. Petya's age = 3 * (Petya's sister's age) 2. Petya's father's age = 3 * (Petya's age) 3. Petya's father's age + Petya's sister's age = 50

Using these equations, we can solve for Petya's father's age.

Solution Steps

Let's solve the problem step by step:

1. Let's assume Petya's father's age is x years. 2. Petya's age is then 3 * x years. 3. Petya's sister's age is (3 * x) / 3 = x years. 4. The sum of Petya's father's age and Petya's sister's age is x + x = 2x years. 5. According to the given information, the sum of Petya's father's age and Petya's sister's age is 50 years. So, we have the equation 2x = 50. 6. Solving for x, we find x = 25. 7. Therefore, Petya's father's age is 25 years.

Answer

Petya's father is 25 years old.

Verification

Let's verify our answer using the given information:

- Petya's age is three times his sister's age: 3 * 25 = 75. - Petya's father's age is three times Petya's age: 3 * 75 = 225. - The sum of Petya's father's age and Petya's sister's age is 50: 25 + 25 = 50.

Our answer is consistent with the given information, so we can conclude that Petya's father is indeed 25 years old.