Question

Маша написала на доске 10 чисел. Паша заметил, что сумма любых девяти чисел нечётна. Чётна или нечётна сумма всех написанных чисел?

Answer 1

Ответ: смотря какие числа :/

Если 12345678910 то нет

Пошаговое объяснение:

Answer 2

The Problem

Masha wrote 10 numbers on the board, and Pasha noticed that the sum of any nine numbers is odd. The question is whether the sum of all the written numbers is even or odd.

Solution

To determine whether the sum of all the written numbers is even or odd, we can analyze the given information. We know that the sum of any nine numbers is odd. Let's assume that the sum of the ten numbers is even.

If the sum of the ten numbers is even, then the sum of any nine numbers would also be even. However, we are given that the sum of any nine numbers is odd. This creates a contradiction, as it is not possible for the sum of any nine numbers to be both odd and even at the same time.

Therefore, our assumption that the sum of the ten numbers is even must be incorrect. The sum of the ten numbers must be odd.

Conclusion

The sum of all the written numbers is odd.