Question

ПОМОГИТЕ С ЗАДАЧЕЙ : Сыну 8 лет ,его возраст состовляет (дробь)2/9 возраста отца.Возраст отца состовлет (дробь)3/5возраста дедушки.Сколько лет дедушке?

Answer 1

1) 8 : 2 * 9 = 36 лет - возраст отца

2) 36 : 6 * 5 = 60 лет - возраст дедушки

Answer 2

Problem Analysis

The problem states that the son is 8 years old, and his age is 2/9 of the father's age. The father's age is 3/5 of the grandfather's age. We need to find the age of the grandfather.

Solution

Let's solve this problem step by step.

1. Let's assume the age of the son is S, the age of the father is F, and the age of the grandfather is G.

2. According to the problem, the son's age is 2/9 of the father's age. So we can write the equation: S = (2/9)F.

3. Similarly, the father's age is 3/5 of the grandfather's age. So we can write the equation: F = (3/5)G.

4. We need to find the age of the grandfather, which is G.

5. To find G, we can substitute the value of F from equation 3 into equation 2: S = (2/9)(3/5)G.

6. Simplifying the equation, we get: S = (6/45)G.

7. We know that the son's age is 8 years, so we can substitute S = 8 into the equation: 8 = (6/45)G.

8. To find G, we can solve the equation for G: G = (8 * 45) / 6.

9. Evaluating the expression, we find that G = 60.

Answer

The grandfather is 60 years old.

Verification

Let's verify our answer using the given information.

- The son is 8 years old, which is 2/9 of the father's age. 8 is indeed 2/9 of 36 (father's age). - The father's age is 36, which is 3/5 of the grandfather's age. 36 is indeed 3/5 of 60 (grandfather's age).

Therefore, our answer is correct.

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