Question

На доске сначала было записано число 198.Стас играет в арефмитическую игру . Он может уменожить записанное число на 3 либо вычесть из него 7. Полученное число стас записывает на доске вместо прежнего . Может Ли Стас действуя таким образом , в конце получить число 200? Если да то покажите как, если нет то объясните почему

Answer 1

1). 198-175=23 (25 раз отнял 7)
2). 23*3=69
3). 69*3=207
4). 207-7=200

Answer 2

Problem Analysis

Stas starts with the number 198 written on the board. He can either multiply the number by 3 or subtract 7 from it. The question is whether Stas can obtain the number 200 by performing these operations.

Solution

To determine if Stas can obtain the number 200, we need to analyze the possible outcomes of multiplying the number by 3 or subtracting 7 from it.

Let's consider the two operations separately:

1. Multiplying the number by 3: If Stas multiplies 198 by 3, he will get 594. However, this is not equal to 200.

2. Subtracting 7 from the number: If Stas subtracts 7 from 198, he will get 191. Again, this is not equal to 200.

Based on these calculations, it is not possible for Stas to obtain the number 200 by performing these operations on 198.

Therefore, the answer is no, Stas cannot obtain the number 200 by multiplying the number by 3 or subtracting 7 from it.

Explanation

The calculations above demonstrate that Stas cannot reach the number 200 by multiplying 198 by 3 or subtracting 7 from it. This is because both operations result in numbers that are significantly different from 200.

It is important to note that this conclusion is based on the specific operations mentioned in the problem. If different operations were allowed, the outcome might be different. However, in the given scenario, Stas cannot obtain the number 200.

I hope this explanation clarifies why Stas cannot obtain the number 200. If you have any further questions, please let me know!