Question

У Пети три брата. Первый брат старше Пети на пять лет, второй младше Пети на пять лет, третий младше Пети в три раза. Отец старше Пети в четыре раза. Им всем в сумме 66 лет. Сколько лет Пете?

Answer 1

первому брату x+5 лет

второму брату x-5 лет

третему x:3 лет

отцу x*4 лет

пете х лет

х+5+х-5+х:3+4х+х=66

х+х+1\3х+4х+х=66

22\3х=66

3\22*22\3х=3\22*66

х=3\22*66

х=3*3

х=9

значит первому брату 9+5=14 лет

второму брату 9-5=4 года

третему брату 9:3=3 года

отцу 9*4=36 лет

ну и пете 9 лет

Answer 2

Question Analysis

The question provides information about the ages of three brothers and their father, as well as the sum of their ages. We need to determine the age of the person named Petya.

Answer

Let's solve this step by step:

1. Let's assign variables to the ages of the brothers and the father: - Let Petya's age be P. - Let the age of the first brother be B1. - Let the age of the second brother be B2. - Let the age of the third brother be B3. - Let the age of the father be F.

2. We are given the following information: - The first brother is 5 years older than Petya: B1 = P + 5. - The second brother is 5 years younger than Petya: B2 = P - 5. - The third brother is 3 times younger than Petya: B3 = P / 3. - The father is 4 times older than Petya: F = 4P. - The sum of their ages is 66: P + B1 + B2 + B3 + F = 66.

3. Now we can substitute the values of B1, B2, B3, and F into the equation: P + (P + 5) + (P - 5) + (P / 3) + (4P) = 66.

4. Simplifying the equation: P + P + 5 + P - 5 + P / 3 + 4P = 66.

5. Combining like terms: 8P + P / 3 = 66.

6. Multiplying through by 3 to eliminate the fraction: 24P + P = 198.

7. Simplifying further: 25P = 198.

8. Solving for Petya's age: P = 198 / 25.

9. Calculating the value of P: P ≈ 7.92.

Therefore, Petya is approximately 7.92 years old.

Explanation

According to the given information, Petya has three brothers. The first brother is 5 years older than Petya, the second brother is 5 years younger than Petya, and the third brother is 3 times younger than Petya. The father is 4 times older than Petya. The sum of their ages is 66.

To find Petya's age, we assign variables to the ages of Petya, the three brothers, and the father. We then set up an equation using the given information and solve for Petya's age.

After solving the equation, we find that Petya is approximately 7.92 years old.

Please note that the ages calculated here are approximate due to rounding.