Question

Решите задачу уравнением пожалуйста! Дедушке 58, его сыну 32 года внукам 11 и 7 лет. Через сколько лет возраст дедушки будет равен сумме возрастов его сына и внуков?

Answer 1

Problem Analysis

To solve this problem, we need to determine the number of years it will take for the grandfather's age to be equal to the sum of his son's age and the ages of his grandchildren.

Solution

Let's denote the grandfather's age as G, the son's age as S, and the ages of the grandchildren as G1 and G2.

According to the problem, the grandfather is currently 58 years old (G = 58), the son is 32 years old (S = 32), and the grandchildren are 11 and 7 years old (G1 = 11 and G2 = 7).

We need to find the number of years (x) it will take for the grandfather's age to be equal to the sum of his son's age and the ages of his grandchildren.

Mathematically, we can represent this as the equation:

G + x = S + G1 + G2

Substituting the given values, we have:

58 + x = 32 + 11 + 7

Simplifying the equation:

58 + x = 50 + 18

58 + x = 68

Subtracting 58 from both sides:

x = 68 - 58

x = 10

Therefore, it will take 10 years for the grandfather's age to be equal to the sum of his son's age and the ages of his grandchildren.

Answer

The grandfather's age will be equal to the sum of his son's age and the ages of his grandchildren in 10 years.

Please let me know if you need any further assistance.