Question

Сколько существует натуральных чисел,не превосходящих 200,которые делятся на 7,но не делятся на 12??? ПОМОГИТЕ ПОЖАЛУЙСТА!!!!!!

Answer 1

Calculation of Natural Numbers Divisible by 7 but not by 12

To determine the number of natural numbers less than or equal to 200 that are divisible by 7 but not by 12, we can use the following steps:

1. Find the highest multiple of 7 that is less than or equal to 200. In this case, it is 196 (28 * 7 = 196).

2. Find the highest multiple of 12 that is less than or equal to 200. In this case, it is 192 (16 * 12 = 192).

3. Count the number of multiples of 7 between the highest multiple of 7 and the highest multiple of 12. In this case, there are 3 multiples of 7 between 196 and 192 (189, 196, and 203).

4. Subtract the number of multiples of 7 between the highest multiple of 7 and the highest multiple of 12 from the total number of multiples of 7 less than or equal to 200. In this case, the total number of multiples of 7 less than or equal to 200 is 28, so the number of natural numbers less than or equal to 200 that are divisible by 7 but not by 12 is 28 - 3 = 25.

Therefore, there are 25 natural numbers less than or equal to 200 that are divisible by 7 but not by 12.