
Ребят помогите решить с задачу!Некто пообещал дать 99 конфет тому,кто сумеет их разделить между
четыремя людьми так чтобы каждому досталось нечётное число конфет!Почему этот приз до сих пор никому не удалось получить?

Ответы на вопрос




The Problem of Dividing 99 Candies
The problem states that someone promised to give 99 candies to anyone who can divide them among four people in such a way that each person receives an odd number of candies. The question is why no one has been able to claim this prize yet.
To solve this problem, we need to consider the properties of odd numbers and how they can be divided.
Understanding Odd Numbers
An odd number is any integer that cannot be divided evenly by 2. When an odd number is divided by 2, there will always be a remainder of 1. For example, 3, 5, 7, and 9 are all odd numbers.
Dividing 99 Candies
To divide 99 candies among four people in such a way that each person receives an odd number of candies, we need to find a solution where the sum of the four odd numbers is equal to 99.
Let's consider the possible combinations:
1. If we give each person 1 candy, the total number of candies distributed is 4. This leaves us with 99 - 4 = 95 candies remaining, which cannot be divided evenly among four people. 2. If we give each person 3 candies, the total number of candies distributed is 12. This leaves us with 99 - 12 = 87 candies remaining, which cannot be divided evenly among four people. 3. If we give each person 5 candies, the total number of candies distributed is 20. This leaves us with 99 - 20 = 79 candies remaining, which cannot be divided evenly among four people. 4. If we give each person 7 candies, the total number of candies distributed is 28. This leaves us with 99 - 28 = 71 candies remaining, which cannot be divided evenly among four people. 5. If we give each person 9 candies, the total number of candies distributed is 36. This leaves us with 99 - 36 = 63 candies remaining, which cannot be divided evenly among four people.
As we can see, no matter how many candies we distribute to each person, there will always be a remainder that cannot be divided evenly among four people. Therefore, it is not possible to divide 99 candies among four people in such a way that each person receives an odd number of candies.
Therefore, the reason why no one has been able to claim the prize of 99 candies is that it is mathematically impossible to divide them among four people in a way that satisfies the given condition.


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