$3+$The remainder of dividing a natural number $X$ by 26 is equal to the quotient, the remainder of dividing $X$ by 29 is also equal to the quotient.

Find all such $X$.
From the condition, it follows that $X$ is divisible by both 27 and 30. Therefore, $X$ is divisible by 270. Since the remainder of the division of $X$ by 26 is no more than 25, then

$X \leq 25 \cdot 26 + 25 = 675$.

## Answer

270 and 540.