Question

Заміни зірочку в числі 3052* цифрою так, щоб отримати число щоб було кратним числу:10,3. Знайди всі розвязки

Answer 1

Кратным 10 будет число = 30520 - заканчивается на 0,
Кратным 3 будет число = 30528 = 10176*3 - сумма цифр делится на 3

Answer 2

Replacing the Asterisk in 3052

To find a number that is divisible by both 10 and 3 when the asterisk in 3052 is replaced, we can consider the possible values for the asterisk and check which ones satisfy the given conditions.

Divisibility by 10

A number is divisible by 10 if its last digit is 0. Therefore, the value of the asterisk must be such that the resulting number ends with 0.

Divisibility by 3

To check for divisibility by 3, we can sum the digits of the number and see if the result is divisible by 3.

Possible Solutions

Let's consider the possible values for the asterisk and check which ones satisfy both conditions.

1. If the asterisk is replaced by 0, the number becomes 30520. This number is divisible by both 10 and 3, as it ends with 0 and the sum of its digits (3+0+5+2+0) is 10, which is divisible by 3.

2. If the asterisk is replaced by 5, the number becomes 30525. This number is divisible by 5, but it is not divisible by 3.

3. If the asterisk is replaced by 1, the number becomes 30521. This number is not divisible by 10.

Therefore, the only solution that satisfies both conditions is when the asterisk in 3052 is replaced by 0.

So, the number that is divisible by both 10 and 3 when the asterisk in 3052 is replaced is 30520.