Question

15 лет назад возраста Ани, Тани и Вани относились как 1:3:6. Сейчас возраст Ани относится к возрасту Тани как 2:3. Сколько сейчас лет Ване? Дайте ответ в годах.

Answer 1

3(A - 15) = T - 15

3A = 2T

T = 1,5A

3A - 45 = 1,5A - 15
1,5A = 30
A = 20

T = 1,5A = 1,5*20 = 30

B - 15 = 6(A-15) = 6(20-15) = 6*5 = 30
B = 30 + 15 = 45

Ответ: 45

Answer 2

Problem Analysis

We are given the ratio of the ages of Ani, Tani, and Vani 15 years ago, as well as the current ratio of Ani's age to Tani's age. We need to determine Vani's current age.

Solution

Let's assume that 15 years ago, Ani's age was x years, Tani's age was 3x years, and Vani's age was 6x years.

According to the given information, the current ratio of Ani's age to Tani's age is 2:3. This means that Ani's age is 2/3 of Tani's age.

Let's represent Tani's current age as y years. Therefore, Ani's current age would be (2/3)y years.

To find Vani's current age, we need to determine the ratio of Vani's age to Tani's age. Since the ratio of Ani's age to Tani's age is 2:3, and the ratio of Ani's age to Vani's age 15 years ago was 1:6, we can calculate the ratio of Vani's age to Tani's age 15 years ago as follows:

(1/6) = (x / 6x) = (2/3) / (3x / y)

Simplifying the equation, we get:

1 = (2/3) / (3x / y)

Cross-multiplying, we get:

3x = 2y

Solving this equation, we find:

x = (2/3)y

Therefore, Vani's age 15 years ago was 6x = 6(2/3)y = 4y years.

To find Vani's current age, we need to add 15 years to Vani's age 15 years ago:

Vani's current age = 4y + 15

Now, we need to substitute the value of Tani's current age, y, into the equation to find Vani's current age.

Calculation

Let's calculate Vani's current age using the given information.

15 years ago, the ages of Ani, Tani, and Vani were in the ratio 1:3:6. Let's assume that Ani's age was x years, Tani's age was 3x years, and Vani's age was 6x years.

According to the given information, the current ratio of Ani's age to Tani's age is 2:3. This means that Ani's age is (2/3)y years, where Tani's current age is y years.

To find Vani's current age, we need to determine the ratio of Vani's age to Tani's age 15 years ago. Using the equation:

(1/6) = (x / 6x) = (2/3) / (3x / y)

Simplifying the equation, we get:

1 = (2/3) / (3x / y)

Cross-multiplying, we get:

3x = 2y

Solving this equation, we find:

x = (2/3)y

Therefore, Vani's age 15 years ago was 4y years.

To find Vani's current age, we add 15 years to Vani's age 15 years ago:

Vani's current age = 4y + 15

Now, we substitute the value of Tani's current age, y, into the equation to find Vani's current age.

Answer

Vani's current age is 4y + 15 years.

Please note that we do not have the specific values of Ani's and Tani's ages, so we cannot provide an exact numerical answer.