Question

Оленка старша за Катрусю в 3 рази,а Катруся молодша за Оленку на 8 років.Скільки років кожній дівчинці?

Answer 1

Оленка это 3 части возраста Катруси, а Катруся 1 часть
3-1=2 части -разница возрастов Оленки и Катруси
8лет -разница в годах Оленки и Катруси
8:2=4 года это возраст Катруси или 1 часть 
4*3=12 лет -возраст Оленки или 3 части
(до чего же прекрасен украинский язык- это  песня )

Answer 2

Problem Analysis

We are given that Olenka is three times older than Katrusya, and Katrusya is eight years younger than Olenka. We need to determine the ages of both girls.

Solution

Let's assume the age of Katrusya is represented by x. According to the given information, Olenka is three times older than Katrusya, so her age can be represented as 3x. Additionally, we know that Katrusya is eight years younger than Olenka, so we can represent her age as 3x - 8.

To find the ages of both girls, we need to solve the equation 3x - 8 = x.

Solving the Equation

To solve the equation, we can subtract x from both sides: 3x - x - 8 = 0

Simplifying the equation, we get: 2x - 8 = 0

Next, we can add 8 to both sides: 2x = 8

Finally, we can divide both sides by 2 to solve for x: x = 4

Answer

Based on the given information, Katrusya is 4 years old, and Olenka is three times older, which means she is 12 years old.

Therefore, Katrusya is 4 years old, and Olenka is 12 years old.