Question

Складіть рівняння до задачі: Син у 4 рази молодший від батька. Скільки років батькові, якщо він старший за сина на 27 років. Вік сина позначте х.

Answer 1

Відповідь:

9 і 36

Покрокове пояснення:

син х

батько 4х

4х-х=27

3х=27

х=9 синові

4*9=36 батькові

Answer 2

Problem Analysis

To solve this problem, we need to set up an equation based on the given information. Let's analyze the problem step by step:

1. The son is 4 times younger than the father. 2. The father is 27 years older than the son.

Let's denote the age of the son as 'x'. Based on the given information, we can set up the following equation:

Equation Setup

The son is 4 times younger than the father, so the father's age can be expressed as 4x. Additionally, the father is 27 years older than the son, so we can set up the equation:

4x + 27 = father's age

Now, we can solve this equation to find the father's age.

Solving the Equation

To find the value of 'x' (the son's age), we need to solve the equation:

4x + 27 = father's age

To do this, we can subtract 27 from both sides of the equation:

4x = father's age - 27

Now, we can divide both sides of the equation by 4 to isolate 'x':

x = (father's age - 27) / 4

This equation gives us the age of the son, 'x', in terms of the father's age. By substituting the value of 'x' into this equation, we can find the father's age.

Let's calculate the father's age using this equation.

Calculation

To calculate the father's age, we need to substitute the value of 'x' into the equation:

x = (father's age - 27) / 4

Since we don't have the value of 'x' in the problem statement, we cannot calculate the exact age of the father without additional information.

However, if we assume a value for 'x', we can calculate the corresponding age of the father. For example, if we assume 'x' to be 10, we can substitute it into the equation:

10 = (father's age - 27) / 4

Now, we can solve this equation to find the father's age:

10 * 4 = father's age - 27

40 = father's age - 27

father's age = 40 + 27 = 67

So, if the son is 10 years old, the father would be 67 years old.

Please note that this is just an example calculation based on the assumption of 'x' being 10. The actual age of the father depends on the value of 'x' provided in the problem statement.

Let me know if there's anything else I can help you with!