Question

Отец старше сына в 4 раза, при этом суммарный их возраст составляет 50 лет. Через сколько лет отец станет старше сына в 3 раза?

Answer 1

К примеру Сыну 10, А отцу 40.

Предположим через 5 лет.
Отцу 45
Сыну 15
45÷15=3

Answer 2

Problem Analysis

We are given that the father is 4 times older than the son, and their combined age is 50 years. We need to determine how many years it will take for the father to become 3 times older than the son.

Solution

Let's assume the son's age is x years. According to the given information, the father's age is 4 times the son's age, so the father's age is 4x years.

The sum of their ages is 50 years, so we can write the equation:

x + 4x = 50

Simplifying the equation, we get:

5x = 50

Dividing both sides of the equation by 5, we find:

x = 10

Therefore, the son's age is 10 years and the father's age is 40 years.

To find out how many years it will take for the father to become 3 times older than the son, we need to find the difference in their ages and divide it by the difference in the multiplication factors.

The difference in their ages is:

40 - 10 = 30

The difference in the multiplication factors is:

4 - 3 = 1

Dividing the difference in ages by the difference in the multiplication factors, we get:

30 / 1 = 30

Therefore, it will take 30 years for the father to become 3 times older than the son.

Answer

It will take 30 years for the father to become 3 times older than the son.