Question

Оля старша за Ірину на 3 роки, а від Тоні вона старша на 4 роки. Всього сестрам 35 років. Який вік кожної з дівчаток?

Answer 1

Х - Оля
х- 3 - Ірина
х-4 -Тоня
х+х-3+х-4=35
3х=42
х=14
отже 14р-олі,
14-3=11р - Ірині
14-4=10р-тоні

Answer 2

Calculating the Ages of the Girls

To solve this problem, we can use a system of equations to represent the given information and then solve for the ages of the girls.

Let's denote: - Olya's age as O - Irina's age as I - Tony's age as T

We are given the following information: 1. Olya is 3 years older than Irina: O = I + 3 2. Olya is 4 years older than Tony: O = T + 4 3. The total of their ages is 35: O + I + T = 35

Solving the System of Equations

We can use the first two equations to express Olya's age in terms of Tony's age and then substitute it into the third equation to solve for the ages.

From the first equation: O = I + 3 From the second equation: O = T + 4

Substitute I + 3 for O in the third equation: (I + 3) + I + T + 4 = 35 2I + T + 7 = 35 2I + T = 28 (Equation A)

Now, substitute T + 4 for O in the third equation: I + (T + 4) + T = 35 I + 2T + 4 = 35 I + 2T = 31 (Equation B)

Now we have a system of equations: 2I + T = 28 (Equation A) I + 2T = 31 (Equation B)

Solving this system of equations will give us the ages of the girls.

Calculating the Ages

Using the system of equations: 2I + T = 28 (Equation A) I + 2T = 31 (Equation B)

Solving for I and T: Subtracting Equation B from Equation A: (2I + T) - (I + 2T) = 28 - 31 I - T = -3 (Equation C)

Adding Equation A and Equation B: (2I + T) + (I + 2T) = 28 + 31 3I + 3T = 59 I + T = 19 (Equation D)

Adding Equation C and Equation D: (I - T) + (I + T) = -3 + 19 2I = 16 I = 8

Substitute I = 8 into Equation D: 8 + T = 19 T = 11

Now we have the ages of Irina and Tony: - Irina is 8 years old - Tony is 11 years old

Finally, we can find Olya's age using the equation O = I + 3: O = 8 + 3 O = 11

So, the ages of the girls are: - Olya is 11 years old - Irina is 8 years old - Tony is 11 years old