Question

Решите через 3 этапа математического моделирования. Маме и дочке вместе 35 лет. Сколько лет дочке, если она на 25 лет моложе мамы?

Answer 1

Если моложе то отнять, значит:
1)35-25=10(л.)-лет дочке
Ответ:10 лет.

Answer 2

Mathematical Modeling in Three Steps

To solve the problem of determining the age of the daughter when she is 25 years younger than her mother, we can use mathematical modeling in three steps.

1. Define the Variables: - Let's denote the daughter's age as D and the mother's age as M. - We are given that the sum of their ages is 35 years: D + M = 35. - Additionally, we know that the daughter is 25 years younger than the mother: D = M - 25.

2. Formulate the Equations: - Using the given information, we can create a system of equations to represent the relationship between the daughter's and mother's ages. - The first equation represents the sum of their ages: D + M = 35. - The second equation represents the age difference between the daughter and the mother: D = M - 25.

3. Solve the Equations: - We can solve the system of equations to find the values of D and M. - Substituting the value of D from the second equation into the first equation gives: (M - 25) + M = 35. - Simplifying the equation: 2M - 25 = 35. - Adding 25 to both sides: 2M = 60. - Dividing by 2: M = 30. - Substituting the value of M back into the second equation: D = 30 - 25. - Solving for D: D = 5.

Therefore, the daughter is 5 years old.