Question

Павел с сыном и Семён с сыном были на рыбалке. Павел поймал столько же рыб, сколько и его сын Игорь, а Семён втрое больше, чем его сын. Всего они поймали 35 рыб. Как зовут сына Семёна? Кто сколько поймал рыб?

Answer 1

Сына Семена зовут Павел. Павел и Игорь поймали по 7 рыб, а Семен 21 рыбу.

Answer 2

Solving the Fishing Riddle

To solve the riddle, let's break down the information provided:

- Pavel and his son Igor caught the same amount of fish. - Semyon caught three times as many fish as his son. - Altogether, they caught 35 fish.

Let's denote the number of fish Pavel and Igor caught as *x*, and the number of fish Semyon and his son caught as *y*. From the given information, we can form the following equations:

1. x + x + y = 35 (Pavel and Igor caught the same amount of fish, and together with Semyon, they caught 35 fish) 2. y = 3x (Semyon caught three times as many fish as his son)

Now, let's solve for *x* and *y*.

First, we can substitute the value of *y* from equation 2 into equation 1: x + x + 3x = 35 5x = 35 x = 7

Now that we have the value of *x*, we can find the value of *y* using equation 2: y = 3 * 7 y = 21

So, Pavel and Igor each caught 7 fish, and Semyon and his son caught 21 fish. Therefore, Semyon's son's name is Ivan.

Conclusion

Semyon's son's name is Ivan. Pavel and Igor each caught 7 fish, and Semyon and Ivan caught 21 fish.

Answer 3

Problem Analysis

We are given the following information: - Pavel and his son Igor caught the same number of fish. - Semen caught three times more fish than his son. - They caught a total of 35 fish.

We need to determine the name of Semen's son and how many fish each person caught.

Solution

Let's assume that Pavel and Igor caught x fish each. Since Semen caught three times more fish than his son, Semen's son must have caught x/3 fish.

According to the given information, the total number of fish caught is 35. We can write this as an equation:

x + x + x/3 = 35

To solve this equation, we can multiply through by 3 to eliminate the fraction:

3x + 3x + x = 105

Simplifying the equation, we get:

7x = 105

Dividing both sides by 7, we find:

x = 15

Therefore, Pavel and Igor each caught 15 fish, and Semen's son caught 15/3 = 5 fish.

So, Semen's son is named Ivan, and the number of fish caught by each person is as follows: - Pavel: 15 fish - Igor: 15 fish - Semen: 3 * 5 = 15 fish - Ivan: 5 fish

Answer

Semen's son is named Ivan. Pavel caught 15 fish, Igor caught 15 fish, Semen caught 15 fish, and Ivan caught 5 fish.