
Найди возраст семьи, если дочери 1 год, младшему сыну столько лет сколько дочери и половина
возраста старшего сына , а старшему сыну столько , сколько дочери и младшему сыну вместе. Возраст отца в 4 раза превышает суммарный возраст всех детей. Возраст матери на 20 лет больше суммарного возраста всех детей.

Ответы на вопрос

Дочь-1год
Мл.сын-1 год
Ст.сын-2 года
Отец-16 лет???
Мать-24 года
Всего семье 44 года.



Problem Analysis
We are given a set of conditions about the ages of family members and are asked to find the age of the family. Let's break down the given conditions: - The daughter is 1 year old. - The youngest son is the same age as the daughter. - The oldest son is twice the age of the daughter. - The father's age is 4 times the sum of the ages of all the children. - The mother's age is 20 years older than the sum of the ages of all the children.We need to find the age of the entire family.
Solution
Let's solve the problem step by step.1. Let's assign variables to the ages of the daughter, youngest son, oldest son, father, and mother. We'll use the following variables: - Daughter's age: D - Youngest son's age: Y - Oldest son's age: O - Father's age: F - Mother's age: M
2. We are given that the daughter is 1 year old, so we can assign D = 1.
3. The youngest son is the same age as the daughter, so Y = D = 1.
4. The oldest son is twice the age of the daughter, so O = 2D = 2.
5. The father's age is 4 times the sum of the ages of all the children. Since we have the ages of the daughter, youngest son, and oldest son, we can calculate the sum of their ages as D + Y + O = 1 + 1 + 2 = 4. Therefore, F = 4 * (D + Y + O) = 4 * 4 = 16.
6. The mother's age is 20 years older than the sum of the ages of all the children. The sum of the ages of all the children is D + Y + O = 1 + 1 + 2 = 4, so M = (D + Y + O) + 20 = 4 + 20 = 24.
Therefore, the ages of the family members are as follows: - Daughter: 1 year old - Youngest son: 1 year old - Oldest son: 2 years old - Father: 16 years old - Mother: 24 years old
Answer
The ages of the family members are as follows: - Daughter: 1 year old - Youngest son: 1 year old - Oldest son: 2 years old - Father: 16 years old - Mother: 24 years old

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