Puzzles and logic › Number puzzles › Changing digits and numbers
Product preserved after altering two numbers
High school · ●●●○○ 50 pts
Lucas writes two distinct positive integers on a whiteboard. He decreases the smaller number by 20 and increases the larger number by 23, and finds that the product of the two original numbers equals the product of the two altered numbers. Compute the minimum possible sum of the original two numbers.