Question

Дима младше Светы на число лет, получаемое при делении его возраста на три, но старше Феди на число лет, получаемое при делении возраста Феди на три. Всем вместе 111 лет. Кто младший? Сколько ему лет?

Answer 1

Если слушала нп уроке то узнала

Answer 2

Problem Analysis

We are given the following information: - Dimа is younger than Svetа by a number of years obtained by dividing his age by three. - Dimа is older than Fedа by a number of years obtained by dividing Fedа's age by three. - The sum of their ages is 111 years.

We need to determine who is the youngest and how old they are.

Solution

Let's assume Dimа's age is represented by D, Svetа's age is represented by S, and Fedа's age is represented by F.

From the given information, we can form the following equations:

1. D = S - (S/3) 2. D = F + (F/3) 3. D + S + F = 111

We can solve this system of equations to find the values of D, S, and F.

Solving the Equations

Let's solve the equations step by step.

From equation 1, we have: D = S - (S/3)

Multiplying both sides by 3, we get: 3D = 3S - S

Simplifying, we have: 3D = 2S

From equation 2, we have: D = F + (F/3)

Multiplying both sides by 3, we get: 3D = 3F + F

Simplifying, we have: 3D = 4F

Now, we have two equations: 1. 3D = 2S 2. 3D = 4F

We can equate these two equations to eliminate D: 2S = 4F

Simplifying, we have: S = 2F

Now, we have three equations: 1. 3D = 2S 2. 3D = 4F 3. D + S + F = 111

Substituting S = 2F into equation 1, we get: 3D = 2(2F) 3D = 4F

Substituting S = 2F into equation 3, we get: D + 2F + F = 111 D + 3F = 111

Now, we have two equations: 1. 3D = 4F 2. D + 3F = 111

We can solve this system of equations to find the values of D and F.

Let's solve equation 2 for D: D = 111 - 3F

Substituting this value of D into equation 1, we get: 3(111 - 3F) = 4F

Expanding and simplifying, we have: 333 - 9F = 4F

Bringing 4F to the left side, we get: 333 = 13F

Dividing both sides by 13, we get: F = 333/13

Calculating the value of F, we find: F ≈ 25.615

Substituting this value of F into equation 2, we get: D + 3(25.615) = 111

Simplifying, we have: D + 76.845 = 111

Bringing 76.845 to the left side, we get: D = 111 - 76.845

Calculating the value of D, we find: D ≈ 34.155

Now, we can calculate the value of S using the equation S = 2F: S = 2(25.615)

Calculating the value of S, we find: S ≈ 51.23

Conclusion

Based on the calculations, we have determined the following:

- Dimа's age (D) is approximately 34.155 years. - Svetа's age (S) is approximately 51.23 years. - Fedа's age (F) is approximately 25.615 years.

Therefore, Dimа is the youngest, and he is approximately 34.155 years old.