Question

Решите задачу: Отец старше сына на 25 лет.Возраст отца относится к возрасту сына как 3/2:2/3.Сколько лет отцу и сколько лет сыну?(С краткой записью)

Answer 1

Первая фотография - это арифметический способ;
вторая - алгебраический способ

Answer 2

Problem Analysis

We are given that the father is 25 years older than the son, and the ratio of the father's age to the son's age is 3/2:2/3. We need to find the ages of the father and the son.

Solution

Let's assume the son's age is x years. According to the given information, the father's age is x + 25 years.

The ratio of the father's age to the son's age is 3/2:2/3. We can write this as:

(x + 25)/(x) = (3/2)/(2/3)

To solve this equation, we can cross-multiply:

3/2 * x = 2/3 * (x + 25)

Now, let's solve for x:

3/2 * x = 2/3 * x + 2/3 * 25

Multiplying both sides by 6 to eliminate the fractions:

9x = 4x + 100

Subtracting 4x from both sides:

5x = 100

Dividing both sides by 5:

x = 20

So, the son is 20 years old.

The father's age is x + 25 = 20 + 25 = 45 years.

Therefore, the father is 45 years old and the son is 20 years old.

Answer: The father is 45 years old and the son is 20 years old.