Question

Как решить задачу дедушка старше внука в 6 раз, а внук моложе своего отца в 3 раза.вместе им троим 100 лет. сколько лет ОТЦУ? СЫНУ? ДЕДУШКЕ?

Answer 1

Внук - х
отец - 3х
дед - 6х
всего - 100

1) х+3х+6х= 100
10х= 100
х= 100:10
х= 10 - лет внуку

2) 10*3= 30 - лет отцу
3) 10*6= 60 - лет деду

Answer 2

Я думаю та но не уверенно
Отцу-30 лет
Сыну-10 лет
Дедушке-60 лет

Answer 3

Problem Analysis

To solve this problem, we need to determine the ages of the father, son, and grandfather based on the given information. Let's break down the problem step by step:

1. The grandfather is 6 times older than the grandson. 2. The grandson is 3 times younger than his father. 3. The sum of their ages is 100 years.

We need to find the ages of the father, son, and grandfather.

Solution

Let's assume the age of the grandson is x years. Based on the given information, we can determine the following:

1. The age of the grandfather is 6 times the age of the grandson: grandfather's age = 6x. 2. The age of the father is 3 times the age of the grandson: father's age = 3x. 3. The sum of their ages is 100 years: x + 3x + 6x = 100.

Now, let's solve the equation to find the value of x:

x + 3x + 6x = 100

Combining like terms:

10x = 100

Dividing both sides by 10:

x = 10

Therefore, the grandson is 10 years old.

To find the ages of the father and grandfather, we can substitute the value of x into the equations we derived earlier:

1. The age of the grandfather: grandfather's age = 6x = 6 * 10 = 60 years. 2. The age of the father: father's age = 3x = 3 * 10 = 30 years.

So, the ages of the father, son, and grandfather are as follows:

- The father is 30 years old. - The son (grandson) is 10 years old. - The grandfather is 60 years old.

Conclusion

Based on the given information, the father is 30 years old, the son (grandson) is 10 years old, and the grandfather is 60 years old.

Please note that the solution provided is based on the information given and the assumptions made.