Вопрос задан 16.01.2020 в 21:05. Предмет Математика. Спрашивает Щербакова Соня.

Отцу, деду и сыну вместе 110лет. Отцу и деду вместе 97 лет, а отцу и сыну вместе 51 год. Сколько

лет деду. Сколько лет отцу. Сколько лет сыну. На сколько лет дед старше отца. На сколько лет отец старше сына.
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Отвечает Лобода Анатолий.
1)97+51=148.2)148-110=38-отцу.3)97-38=59-деду.4)38+59=97-вместе отцу и деду.5)110-97=13-сыну
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Отвечает Мулярчик Дима.
110-97=13 лет - сыну. 51-13=38 лет - отцу . 97-38 =59 лет-дедушке 
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Отвечает нейросеть ChatGpt. Будьте внимательны, ответы нейросети могут содержать ошибочные или выдуманные данные.

Problem Analysis

We are given the ages of a father, grandfather, and son combined, as well as the combined ages of the father and grandfather, and the combined ages of the father and son. We need to determine the individual ages of the grandfather, father, and son, as well as the age difference between the grandfather and father, and the age difference between the father and son.

Solution

Let's assign variables to the unknown ages: - Let G represent the age of the grandfather. - Let F represent the age of the father. - Let S represent the age of the son.

From the given information, we can form the following equations: 1. G + F + S = 110 (the combined ages of the three) 2. G + F = 97 (the combined ages of the grandfather and father) 3. F + S = 51 (the combined ages of the father and son)

To solve these equations, we can use substitution or elimination. Let's use substitution:

From equation 2, we can express G in terms of F: G = 97 - F.

Substituting this value of G into equation 1, we get: (97 - F) + F + S = 110.

Simplifying the equation, we find: 97 + S = 110.

Solving for S, we get: S = 110 - 97 = 13.

Now that we know the age of the son, we can substitute this value into equation 3 to find the age of the father:

F + 13 = 51.

Solving for F, we get: F = 51 - 13 = 38.

Finally, we can substitute the values of F and S into equation 2 to find the age of the grandfather:

G + 38 = 97.

Solving for G, we get: G = 97 - 38 = 59.

Answer

Based on the given information, the age of the grandfather is 59 years, the age of the father is 38 years, and the age of the son is 13 years.

To determine the age difference between the grandfather and father, we subtract the age of the father from the age of the grandfather: 59 - 38 = 21 years.

To determine the age difference between the father and son, we subtract the age of the son from the age of the father: 38 - 13 = 25 years.

Therefore, the grandfather is 21 years older than the father, and the father is 25 years older than the son.

Please note that the search results did not provide any relevant information for this specific problem. The solution was derived using basic algebraic equations.

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