Question

Решить задачу. Записать решение в виде уравнения:Отцу и дочери вместе 62 года. Четыре года назад отец был в 8 раз старше дочери. Сколько лет каждому из них?

Answer 1

Отец`--y, дочь--x
x+y=62
4 год назад x+y=54 и 8x=y 
отсюда x+8x=54   9x=54 x=6, y=48
4 год спустя x=6+4=10, y=48+4=52
и так отец--52. дочь ---10

Answer 2

Тут нужно составить систему уравнений.
1) х+у=62
2) (х-4)/(у-4)=8
1) х=62-у
2) (62-у-4)(у-4)=8
62-у-4=8у-32
-9у=-90
у=10
1) х= 52
Ответ: Отцу - 52, дочери - 10.

Answer 3

Problem Analysis

We are given that the father and daughter together are 62 years old. Four years ago, the father was 8 times older than the daughter. We need to determine the ages of both the father and the daughter.

Solution

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

According to the problem, the current age of the father is 62 - x years.

Four years ago, the daughter's age was x - 4 years, and the father's age was (62 - x) - 4 years.

According to the problem, the father's age four years ago was 8 times the daughter's age four years ago:

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

Now, we can solve this equation to find the value of x.

Solving the Equation

Let's solve the equation step by step:

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

Simplifying the equation:

62 - x - 4 = 8x - 32

Combining like terms:

58 - x = 8x - 32

Adding x to both sides:

58 = 9x - 32

Adding 32 to both sides:

90 = 9x

Dividing both sides by 9:

x = 10

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

Now, we can find the current age of the father:

Father's age = 62 - x = 62 - 10 = 52 years.

Therefore, the daughter is currently 10 years old, and the father is currently 52 years old.

Answer

The daughter is currently 10 years old, and the father is currently 52 years old.