54. A student was asked to multiply two numbers, the product of which is 4500. While copying the numbers from the board, he wrote a 3 instead of the 5 at the end of one of the factors, and after multiplying, he obtained 4380. Find the given numbers.
54. Let the required numbers be $x$ and $y$. Then $x y=4500, x(y-2)=4380$ (by replacing the digit 5 at the end of the multiplier with the digit 3, the student reduced the multiplier by 2 units). Answer: 60 and 75.