Question

Задумано двузначное число, которое делится на 7. После к нему справа приписали это же ( задуманное число ) еще раз. Оказалось что четырехзначное число делится на 11. Какое число было задумано. Пожалуйста подскажите решаю тест) Дам 10б

Answer 1

Ответ:

как я понял тебе нужно двузначное число которое делится на 7 и на 11 ответ 77

Answer 2

Problem Analysis

We are given a two-digit number that is divisible by 7. When we append the same two-digit number to the right of the original number, we obtain a four-digit number that is divisible by 11. We need to determine the original two-digit number.

Solution

Let's consider the possible two-digit numbers that are divisible by 7. These numbers are 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, and 98.

We can check each of these numbers to see if appending them to the right of the original number results in a four-digit number that is divisible by 11.

Let's start with the number 14: - Appending 14 to the right of 14 gives us 1414, which is not divisible by 11.

Next, let's try the number 21: - Appending 21 to the right of 21 gives us 2121, which is not divisible by 11.

We can continue this process for the remaining numbers, but it is clear that none of them will result in a four-digit number that is divisible by 11.

Therefore, there is no two-digit number that satisfies the given conditions.

Conclusion

There is no two-digit number that, when appended to itself, results in a four-digit number that is divisible by 11.