Question

Предложил черт лодырю: «Всякий раз, как перейдешь этот волшебный мост, твои деньги удвоятся. За это ты, перейдя мост, должен будешь отдать мне 24 копейки». Трижды перешел лодырь мост — и остался совсем без денег. Сколько денег было у лодыря первоначально?

Answer 1

Х - было первоначально
после прохождения моста стало: 2х-24
с этой суммой лодырь опять прошел через мост. стало: 2(2х-24)-24
после третьего прохождения стало: 2(2(2х-24)-24)-24
2(2(2х-24)-24)-24=0
2(4х-48-24)-24=0
8х-144-24=0
8х=168
х=21
Ответ:  21 копейка

Answer 2

Problem Analysis

The problem states that a person offered a deal to a lazy person: "Every time you cross this magical bridge, your money will double. But after crossing the bridge, you have to give me 24 kopecks." The lazy person crossed the bridge three times and ended up with no money. We need to determine how much money the lazy person initially had.

Solution

Let's work through the problem step by step:

1. The lazy person crossed the bridge for the first time and doubled their money. 2. After crossing the bridge, the lazy person had to give the person who made the offer 24 kopecks. 3. The lazy person crossed the bridge for the second time and doubled their remaining money. 4. After crossing the bridge again, the lazy person had to give another 24 kopecks. 5. The lazy person crossed the bridge for the third time and doubled their remaining money. 6. After crossing the bridge for the third time, the lazy person had to give another 24 kopecks.

To find out how much money the lazy person initially had, we need to work backward from the final amount of zero.

Let's denote the initial amount of money as 'x'.

1. After the first crossing, the lazy person had 'x' money, which doubled to '2x'. 2. After giving 24 kopecks, the remaining money is '2x - 24'. 3. After the second crossing, the remaining money doubled to '(2x - 24) * 2'. 4. After giving another 24 kopecks, the remaining money is '(2x - 24) * 2 - 24'. 5. After the third crossing, the remaining money doubled to '((2x - 24) * 2 - 24) * 2'.

According to the problem, the final amount of money is zero. So we can set up the equation:

((2x - 24) * 2 - 24) * 2 = 0

Simplifying the equation:

((2x - 24) * 2 - 24) * 2 = 0 (2x - 24) * 2 - 24 = 0 (2x - 24) * 2 = 24 2x - 24 = 12 2x = 36 x = 18

Therefore, the lazy person initially had 18 kopecks.

Answer

The lazy person initially had 18 kopecks.

Source:

- Source ' / vivat2.okis.ru' - Snippet: " : , , . , , 40 ."