Question

У двух рыбаков спросили: “Сколько рыбы в ваших корзинах?” “В моей корзине половина числа рыб, находящихся в корзине у него, да еще десять”, – ответил первый. “А у меня в корзине столько рыб, сколько у него, да еще двадцать”, – сказал второй. Сколько же рыб у каждого из рыбаков? ответ :у первого 40 рыб,у второго 60 .НУЖНО РЕШЕНИЕ!

Answer 1

Пусть х рыбы у первого рыбака, 
у рыбы у второго рыбака, 
1\2у + 10 = х  -  рыбы у первого рыбака   (1)
х + 20 = у - рыбы у второго рыбака    (2)

подставляем в (1)  вместо х (2)
(х + 20 ) : 2 + 10 = х
(х + 20 ) : 2 = х - 10
х + 20 = (х - 10) * 2
х + 20 = 2х - 20
20 + 20 = 2х - х
2х - х = 40
х = 40 - столько рыбы у первого рыбака
40 + 20 = 60 - столько рыбы у второго рыбака

Ответ: 40; 60.

Answer 2

Problem Analysis

Two fishermen were asked how many fish were in their baskets. The first fisherman replied, "In my basket, there are half the number of fish in his basket, plus ten." The second fisherman said, "In my basket, there are as many fish as in his basket, plus twenty." We need to determine how many fish each fisherman has.

Solution

Let's assume the number of fish in the second fisherman's basket is x.

According to the first fisherman, there are half the number of fish in his basket compared to the second fisherman's basket, plus ten. So, the number of fish in the first fisherman's basket is (x/2) + 10.

According to the second fisherman, there are as many fish in his basket as in the first fisherman's basket, plus twenty. So, the number of fish in the second fisherman's basket is [(x/2) + 10] + 20.

To find the value of x, we can equate the two expressions for the number of fish in the second fisherman's basket:

[(x/2) + 10] + 20 = x

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

[(x/2) + 10] + 20 = x

Simplifying the equation:

x/2 + 30 = x

Multiplying both sides of the equation by 2 to eliminate the fraction:

x + 60 = 2x

Subtracting x from both sides of the equation:

60 = x

Therefore, the number of fish in the second fisherman's basket (x) is 60.

Now, let's substitute this value back into the expression for the number of fish in the first fisherman's basket:

(x/2) + 10 = (60/2) + 10 = 30 + 10 = 40

Therefore, the first fisherman has 40 fish in his basket, and the second fisherman has 60 fish in his basket.

Answer

The first fisherman has 40 fish in his basket, and the second fisherman has 60 fish in his basket.