## Task 2 - 060522

A two-digit natural number is sought with the following properties:

The sum of its digits is 10. If you swap its digits and add 2 to the resulting number, you get three times the original number.
The number resulting from the exchange of digits must be greater than the original number, as it is supposed to be equal to the triple of this number minus 2.

In the original number, therefore, the number of tens is smaller than that of the units. One therefore needs to consider, taking into account the condition that the sum of the two numbers is 10, only the numbers $19, 28, 37$ and 46.

Of these, 28 and only 28 fulfills the conditions of the problem.