Question

Возраст отца вместе возрастом дочери 62 лет. 4 года назад возраст отца был 8 раз больше возраста дочери. Сколько лет отцу и дочери?

Answer 1

Х-возраст отца, у-возраст дочери
{х+у=62; х-4=8(у-4)
{у=62-х; х-4=8(62-х-4)
{у=62-х; х-4=486-8х
{у=62-х; 9х=468
{у=62-х; х=52
{у=10; х=52
Ответ: 10, 52

Answer 2

Problem Analysis

We are given that the sum of the father's age and the daughter's age is 62 years. Four years ago, the father's age was 8 times the daughter's age. We need to determine the current ages of the father and the daughter.

Solution

Let's assume the current age of the daughter is x years.

According to the given information, the sum of the father's age and the daughter's age is 62 years. Therefore, the father's age can be expressed as 62 - x years.

Four years ago, the father's age was 8 times the daughter's age. So, four years ago, the father's age was 8(x - 4) years.

To find the current age of the father, we need to add four years to the father's age four years ago. Therefore, the current age of the father is 8(x - 4) + 4 years.

Now, we can set up an equation to solve for the value of x:

62 - x = 8(x - 4) + 4

Simplifying the equation:

62 - x = 8x - 32 + 4

62 - x = 8x - 28

90 = 9x

x = 10

Therefore, the current age of the daughter is 10 years.

To find the current age of the father, we substitute the value of x into the expression we derived earlier:

Father's age = 8(x - 4) + 4 = 8(10 - 4) + 4 = 8(6) + 4 = 52

Therefore, the current age of the father is 52 years.

Answer

The current age of the father is 52 years, and the current age of the daughter is 10 years.