Question

У Светы и Миши семизначные номера телефонов, причём оба номера не начинаются с нуля. Светин номер отличается от Мишиного только первой цифрой — у Миши она на 6 больше. Известно, что номер телефона Миши даёт остаток 5 при делении на 25. Какой остаток даёт номер телефона Светы при делении на 25? Запишите решение и ответ.

Answer 1

Ответ:

остаток от деления будет таким же как и у числа-телефона Миши, то есть 5

Пошаговое объяснение:

Числа семизначные и отличаются только первой цифрой. Разница между этими числами составляет 6 000 000

6 000 000 делится на 25 без остатка, следовательно не оказывает влияния на итог деления.

Answer 2

To solve this problem, let's break it down step by step:

1. We know that both Svetlana's and Misha's phone numbers are seven-digit numbers and do not start with zero. 2. Svetlana's number differs from Misha's number only in the first digit, which is 6 less for Misha's number. 3. Misha's phone number gives a remainder of 5 when divided by 25.

Let's find the remainder when Svetlana's phone number is divided by 25.

Step 1: Finding Misha's Phone Number

Since Misha's phone number gives a remainder of 5 when divided by 25, we can write it as:

Misha's number = 25k + 5, where k is an integer.

Step 2: Finding Svetlana's Phone Number

Svetlana's number differs from Misha's number only in the first digit, which is 6 less for Misha's number. Therefore, we can write Svetlana's number as:

Svetlana's number = 10^6 + Misha's number

Substituting the value of Misha's number from Step 1, we get:

Svetlana's number = 10^6 + (25k + 5)

Step 3: Finding the Remainder

To find the remainder when Svetlana's number is divided by 25, we can simplify the expression:

Svetlana's number = 10^6 + 25k + 5 = 25(4 × 10^4 + k) + 5

Since 25 is a multiple of 25, it does not affect the remainder. Therefore, the remainder when Svetlana's number is divided by 25 is the same as the remainder when (4 × 10^4 + k) is divided by 25.

Step 4: Finding the Remainder of (4 × 10^4 + k) divided by 25

To find the remainder of (4 × 10^4 + k) divided by 25, we need to find the remainder of k divided by 25.

Since we don't have any information about the value of k, we cannot determine the exact remainder when Svetlana's number is divided by 25.

Therefore, without additional information about the value of k, we cannot determine the remainder when Svetlana's number is divided by 25.

Please let me know if there's anything else I can help you with!