Question

Отец в два раза старше сына и на двадцать пять лет старше дочери. Сколько лет дочери если всем вместе 75 лет?

Answer 1

Задача решается через х. Принимаем его за возраст сына. Тогда, возраст отца будет равен 2х, а возраст дочери 2х-25. 2х-25=95,
2х=70,
х=45.
Возраст дочери: 45-25=20.

Answer 2

Problem Analysis

We are given that the father is twice as old as the son and 25 years older than the daughter. We need to determine the age of the daughter if the sum of their ages is 75.

Solution

Let's assume the age of the son is x years. According to the problem, the father is twice as old as the son, so the father's age is 2x years. The father is also 25 years older than the daughter, so the daughter's age is x - 25 years.

The sum of their ages is given as 75, so we can write the equation:

x + 2x + (x - 25) = 75

Simplifying the equation:

4x - 25 = 75

Adding 25 to both sides:

4x = 100

Dividing both sides by 4:

x = 25

Therefore, the son is 25 years old. Substituting this value back into the equations, we can find the ages of the father and daughter:

- Father's age: 2x = 2 * 25 = 50 - Daughter's age: x - 25 = 25 - 25 = 0

Answer

The daughter is 0 years old if the father is twice as old as the son and 25 years older than the daughter, and the sum of their ages is 75.