Question

Решите пожалуйста задачу уравнением! Дочери сейчас 8 лет, а матери 38. Через сколько лет мать будет втрое старше дочери? Заранее спасибо!

Answer 1

3(8+х)=38+х
24+3х=38+х
3х-х=38-24
2х=14
х=14 дел 2
х=7 лет будет старше дочеори

Answer 2

Problem Analysis

To solve this problem, we need to determine the number of years it will take for the mother to be three times older than her daughter. We are given that the daughter is currently 8 years old and the mother is 38 years old. Let's assume that it will take x years for the mother to be three times older than her daughter.

Solution

Let's set up an equation based on the given information. We know that the mother's age x years from now will be 38 + x, and the daughter's age x years from now will be 8 + x. According to the problem, the mother's age x years from now will be three times the daughter's age x years from now. Therefore, we can write the equation:

38 + x = 3(8 + x)

Now, let's solve this equation to find the value of x.

38 + x = 24 + 3x

2x = 38 - 24

2x = 14

x = 7

Therefore, it will take 7 years for the mother to be three times older than her daughter.

Answer

It will take 7 years for the mother to be three times older than her daughter.

Verification

Let's verify our answer by substituting the value of x back into the equation and checking if it holds true.

38 + 7 = 3(8 + 7)

45 = 3(15)

45 = 45

The equation holds true, which confirms that our answer is correct.