Question

Отец старше сына на 24 года. Сейчас он старше сынав 3 раза. Через сколько лет отец будет:1) в 2 раза старше сына? 2) в 5 раз старше сына?помогите пожалуйста завтра нужно у нас летняя школа!!!

Answer 1

Пусть сыну х лет, тогда отцу х+24. Отец старше сына в 3 раза, значит
3х=х+24
2х=24
х=12- сейчас лет сыну, тогда отцу-36 лет
составим уравнение, где отец в 2 раза старше сына
2х=х+24
х=24-возраст сына, когда отец старше в 2 раза. те это произойдет через 12 лет, тк сейчас сыну 12, а станет 24.
аналогично составим уравнение, где отец в 5 раза старше сына
5х=х+24
4х=24
х=6
те это было, когда сыну было 6 лет, те 6 лет назад

Answer 2

Problem Analysis

We are given that the father is 24 years older than the son and that currently, the father is three times older than the son. We need to determine how many years it will take for the father to be twice as old as the son and five times as old as the son.

Solution

Let's denote the current age of the son as x. According to the given information, the current age of the father is x + 24.

To find the number of years it will take for the father to be twice as old as the son, we need to solve the equation (x + 24 + y) = 2(x + y), where y represents the number of years.

To find the number of years it will take for the father to be five times as old as the son, we need to solve the equation (x + 24 + y) = 5(x + y), where y represents the number of years.

Let's solve these equations to find the values of y.

Solution 1: Father is Twice as Old as the Son

To find the number of years it will take for the father to be twice as old as the son, we solve the equation (x + 24 + y) = 2(x + y).

Expanding the equation, we get x + 24 + y = 2x + 2y.

Simplifying the equation, we get 24 + y = x + 2y.

Rearranging the equation, we get x = y + 24.

This equation tells us that the current age of the son is equal to the number of years it will take for the father to be twice as old as the son.

Therefore, the father will be twice as old as the son in 24 years.

Solution 2: Father is Five Times as Old as the Son

To find the number of years it will take for the father to be five times as old as the son, we solve the equation (x + 24 + y) = 5(x + y).

Expanding the equation, we get x + 24 + y = 5x + 5y.

Simplifying the equation, we get **24 + y =