
Составьте задачу по рисунку и решите ее.72 года младше отца в 2 раза младше дедушки в 8раз


Ответы на вопрос







Task Formulation
To solve the problem, we can formulate the following task based on the given information:Let's denote: - F as the age of the father, - S as the age of the son, - G as the age of the grandfather.
We are given the following information: 1. The son is 72 years younger than the father. 2. The son is 2 times younger than the grandfather.
Problem Solving
To solve the problem, we can use the following steps:1. Express the relationships between the ages of the son, father, and grandfather using the given information. 2. Formulate equations based on the relationships. 3. Solve the equations to find the ages of the son, father, and grandfather.
Solution
Let's proceed with solving the problem.Given: - F - S = 72 (The son is 72 years younger than the father) - S = 2G (The son is 2 times younger than the grandfather)
We can substitute the value of S from the second equation into the first equation: - F - 2G = 72
Now, we can express the age of the father in terms of the age of the grandfather: - F = 2G + 72
We also know that the son is 72 years younger than the father: - S = F - 72
Substitute the value of F from the equation F = 2G + 72 into the equation S = F - 72: - S = (2G + 72) - 72 - S = 2G
So, we have found that the age of the son is twice the age of the grandfather.
Let's assume the age of the grandfather, G, to be 1 unit. Then: - S = 2G = 2 - F = 2G + 72 = 74
Therefore, the ages of the son, father, and grandfather are 2, 74, and 1 respectively.
So, the solution to the problem is: - The son is 2 years old, the father is 74 years old, and the grandfather is 1 year old.


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