## Task 2 - 070522

For a two-digit number $z$, it is known that the units digit represents a number three times as large as the tens digit. If the digits are swapped, the resulting number is 36 greater than the original.

What is $z$ in the decimal system?
There are exactly three two-digit numbers where the number of units is three times as large as that of the tens, namely $15, 26, 59$.

Of them, only 26 satisfies the conditions of the problem; because

$$
31-13=18, \quad 62-26=36, \quad 93-39=549
$$

Therefore, $z=26$.