Question

72*** замените звёздочки чётными числами ,так что бы полученное число делилось на 90

Answer 1

Можно вставить 000:
72000:90=800

Answer 2

Можно подставить 360

Answer 3

To find the values of the stars (represented by asterisks) such that the resulting number is divisible by 90, we need to consider the properties of the number 90. First, let's see the factors of 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, and 90.

For the resulting number to be divisible by 90, it must be divisible by 2, 3, 5, and 9. Since we have three stars (represented by asterisks), let's assign even numbers to the stars to ensure divisibility by 2 and 5.

The number formed by replacing the stars with even digits will be of the form: 72***

To make the resulting number divisible by 9, we must find the even number to replace the first star (leftmost asterisk) such that the sum of all digits is divisible by 9. Since 7 + 2 is already 9, we need to find an even number that, when added to 9, results in a multiple of 9. The only even number that satisfies this is 6 (6 + 9 = 15, which is divisible by 9).

Therefore, the number formed by replacing the stars with even digits would be 726**.

Now, to ensure divisibility by 5, the last digit must be 0 or 5. But, since we already have a 6 in the number (which is not divisible by 5), the only option for the last digit is 0. So, the final number is 7260.

Now, let's check if this number is divisible by 90: 7260 ÷ 90 = 80

Since 7260 is divisible by 90, the final number is 7260.