Question

Галі 8 роківа а її мамі 34 роки.Через скільки років Галя буде у 2 рази молодшою за маму.Побудуй математичну модель задачі

Answer 1

 составим уравнение 2(8+х)=34+х  16+2х=34+х  х=34-16=18

Answer 2

(34+х)/(8+х)=2
34+х=16+2х
х=34-16
х=18
Відповідь: через 18 років

Answer 3

Mathematical Model for the Age Problem

To solve the problem, we can use algebra to create an equation that represents the given situation.

Let's denote: - G as Galia's current age (in years) - M as Galia's mother's current age (in years)

According to the problem: - Galia is 8 years old, so G = 8 - Galia's mother is 34 years old, so M = 34

We need to find out after how many years Galia will be twice as young as her mother.

Let's denote: - x as the number of years in the future

After x years, Galia's age will be G + x, and her mother's age will be M + x.

According to the problem, after x years, Galia will be twice as young as her mother: G + x = 2*(M + x)

Solving the Equation

We can now solve the equation to find the value of x.

Substitute the given values of G and M: 8 + x = 2*(34 + x)

Simplify the equation: 8 + x = 68 + 2x

Isolate the variable x: x = 60

Conclusion

After 60 years, Galia will be twice as young as her mother.