## Task 3 - 290523

A natural number $z$ is sought that satisfies the following conditions:

(1) The digit in the tens place of $z$ is 0.

(2) If one forms a new number $z^{\prime}$ by removing the digit 0 in the tens place from $z$ and then calculates the sum $z+z^{\prime}$, the result is 5174.

Show that there can only be one number that satisfies these conditions, and give this number! Also, verify that the number $z$ you provide satisfies the conditions!