Find all numbers with the following properties:

- the number is even,
- the number is two-digit,
- the sum of its digits is greater than 6,
- the digit in the tens place is at least 4 greater than the digit in the units place.

(M. Smitková)
Even numbers have an even digit in the units place, i.e., $0, 2, 4, 6$ or 8. If the digit in the tens place is at least 4 greater than the digit in the units place, the digit in the units place cannot be 6 or 8 (adding 4 results in a number greater than 9). Therefore, the digit in the units place can only be 0, 2, or 4.

If the digit in the units place is 0, the digit in the tens place must be at least 4 according to the fourth condition. To also satisfy the third condition about the sum of the digits, the digit in the tens place must be at least 7. The valid options are

$$
90, \quad 80, \quad 70.
$$

If the digit in the units place is 2, the digit in the tens place must be at least 6 according to the fourth condition. This also satisfies the third condition about the sum of the digits. The valid options are

$$
92, \quad 82, \quad 72, \quad 62.
$$

If the digit in the units place is 4, the digit in the tens place must be at least 8 according to the fourth condition. This also satisfies the third condition about the sum of the digits. The valid options are

$$
94, \quad 84.
$$

These nine numbers represent all the solutions to the problem.

Evaluation. 2 points for limiting the digits in the units place; 2 points for further observations; 2 points for the completeness of the answer.