Question

Катя посчитала, что сейчас суммарный возраст её, её папы, мамы и младшего брата равен 92 годам (других детей в семье нет). Мама сказала, что пять лет назад суммарный возраст членов семьи был равен 74 годам. А папа добавил, что десять лет назад он был равен 60 годам. Определите, сколько лет сейчас Кате. ПОМОГИТЕ ПОЖАЛУЙСТА.

Answer 1

К+П+М+Б=92
5 лет назад всем было на 5 лет меньше.
К-5+П-5+М-5+Б-5=74
Но этого не может быть, потому что
92-4*5=92-20=72
Значит, 5 лет назад младший брат ещё не родился.
К-5+П-5+М-5=74
К+П+М=74+15=89
Б=92-89=3
А 10 лет назад и Кати ещё не было.
П-10+М-10=60
П+М=60+20=80
К=89-П-М=89-80=9

Answer 2

Problem Analysis

We are given the following information: - The current sum of the ages of Katya, her father, her mother, and her younger brother is 92 years. - Five years ago, the sum of their ages was 74 years. - Ten years ago, the sum of their ages was 60 years.

We need to determine Katya's current age.

Solution

Let's assume Katya's current age is K years.

According to the given information, the sum of their ages five years ago was 74 years. So, the sum of their ages at that time can be expressed as:

(K - 5) + (Father's age - 5) + (Mother's age - 5) + (Brother's age - 5) = 74

Simplifying the equation, we get:

K + Father's age + Mother's age + Brother's age - 20 = 74

K + Father's age + Mother's age + Brother's age = 94 ---(1)

Similarly, the sum of their ages ten years ago was 60 years. So, the sum of their ages at that time can be expressed as:

(K - 10) + (Father's age - 10) + (Mother's age - 10) + (Brother's age - 10) = 60

Simplifying the equation, we get:

K + Father's age + Mother's age + Brother's age - 40 = 60

K + Father's age + Mother's age + Brother's age = 100 ---(2)

Now, we have two equations (1) and (2) with four variables (K, Father's age, Mother's age, Brother's age). We can solve these equations to find the values of the variables.

Let's solve the equations:

Subtracting equation (2) from equation (1), we get:

(K + Father's age + Mother's age + Brother's age) - (K + Father's age + Mother's age + Brother's age) = 94 - 100

0 = -6

This implies that the equations are inconsistent, and there is no unique solution. It seems there might be an error in the given information or the problem statement.

Please double-check the information provided or provide any additional information if available, so that I can assist you further.