Question

Отцу 30 лет, а сыну 3 года. Сколько лет будет отцу, когда отец будет в 4 раза старше своего сына?

Answer 1

Х = 30
у = 3

х₁ - возраст отца через n лет
у₁ - возраст сына через n лет.
По условию: х₁ = 4у₁

Так как: х₁ = х + n = 30 + n
               y₁ = y + n = 3 + n    =>   30 + n = 4(3 + n)
                                                     30 + n = 12 + 4n
                                                            3n = 18
                                                              n = 6
Проверим:  30 + 6 = 4(3 + 6)
                          36 = 36

Ответ: отцу будет 36 лет, сыну - 9 лет.

Answer 2

Calculating the Age Difference

To find out how old the father will be when he is four times older than his son, we can use the information provided.

Let's denote the current age of the father as F and the current age of the son as S.

According to the given information: - The father is currently 30 years old, so F = 30. - The son is currently 3 years old, so S = 3.

To find the age at which the father will be four times older than his son, we can use the following equation: F + x = 4 * (S + x), where x represents the number of years in the future.

Solving for x

We can solve for x using the given information: - F = 30 - S = 3

Substituting these values into the equation gives us: 30 + x = 4 * (3 + x)

Calculating the Age

Let's solve for x: 30 + x = 12 + 4x 30 - 12 = 4x - x 18 = 3x x = 6

So, the father will be 4 times older than his son when the father is 36 years old.

Conclusion

Therefore, the father will be 36 years old when he is four times older than his son, who will be 9 years old at that time.