Question

12.4. Митя выписал на листок 37 различных натуральных чисел. Он посчитал количество четных Чисел Х.Количество нечетных чиселҮ, суммувсех37 выписанных чисел — Z. Можно спросить у Мити проОдно значение X, Y или Z – четное оно или нет. Про какоечисло нужно спросить, чтобы узнать четность всех трехЗначений?ПОМОГИТЕ ПОЖАЛУЙСТА!!!!!!!​

Answer 1

Пошаговое объяснение:

если спросить про у, то чётное количество нечётных чисел в сумме даст чётное значение, тогда нечётное количество чётных даст чётное значение, оба чётных значений даст чётное Z, если у нечётное то и сумма чисел будет нечётной, также чётная сумма х с нечётной у даст в сумме нечётное Z

Answer 2

To find out the parity (whether it is even or odd) of all three values X, Y, and Z, we need to ask Mitya about one specific number. Let's break down the problem step by step.

Step 1: Understanding the problem

Mitya has written down 37 different natural numbers on a sheet of paper. He wants to calculate the number of even numbers (X), the number of odd numbers (Y), and the sum of all 37 numbers (Z).

Step 2: Finding the number to ask about

To determine the parity of all three values (X, Y, and Z), we need to find a number that has both even and odd factors. This way, when we ask Mitya about this number, we can deduce the parity of all three values based on his answer.

Step 3: Identifying the number to ask about

Let's consider the number 2. If we ask Mitya about the number 2, we can deduce the parity of all three values based on his answer.

- If Mitya says that 2 is even, we can conclude that X (the number of even numbers) will increase by 1, and Y (the number of odd numbers) will remain the same. This is because 2 is an even number, so it will be counted as an even number in X. - If Mitya says that 2 is odd, we can conclude that X will remain the same, and Y will increase by 1. This is because 2 is an odd number, so it will be counted as an odd number in Y. - Regardless of Mitya's answer, the sum Z will remain the same because 2 is one of the 37 numbers.

Step 4: Conclusion

To determine the parity of all three values (X, Y, and Z), you should ask Mitya about the number 2. Based on his answer, you can deduce the parity of X, Y, and Z.

I hope this helps! Let me know if you have any further questions.