Question

Сейчас мама в 8 ращ старше своей дочери, а через 4 года она будет старше в 4 раза. Сколько лет дочери сейчас?

Answer 1

сейчас дочери х лет, а маме 8х лет.

через 4 года дочери будет х+4 лет, а маме 8х+4 лет, причем, мама будет старше дочери в 4 раза. значит,

8х+4=4(х+4)

8х+4=4х+16

4х=12

х=3

дочери сейчас 3 года, а маме 3*8=24 года.

Answer 2

Problem Analysis

We are given that a mother is currently 8 years older than her daughter, and in 4 years, she will be 4 times older than her daughter. We need to determine the current age of the daughter.

Solution

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

According to the given information, the mother is currently 8 years older than her daughter. Therefore, the current age of the mother is x + 8 years.

In 4 years, the mother will be 4 times older than her daughter. So, after 4 years, the age of the mother will be 4(x + 4) years, and the age of the daughter will be x + 4 years.

We can now set up an equation based on the given information:

4(x + 4) = x + 8

Let's solve this equation to find the value of x.

Equation Solution

Expanding the equation:

4x + 16 = x + 8

Bringing all the x terms to one side:

4x - x = 8 - 16

Simplifying:

3x = -8

Dividing both sides by 3:

x = -8/3

The solution to the equation is x = -8/3. However, since we are dealing with ages, the age of the daughter cannot be negative or a fraction.

Therefore, there is no valid solution to this problem based on the given information.

Conclusion

Based on the given information, it is not possible to determine the current age of the daughter. The problem may have missing or incorrect information.