Problem #PRU-87957

Problems Algebra and arithmetic Number systems Decimal number system Set theory and logic Mathematical logic Puzzles

Problem

The best student in the class, Katie, and the second-best, Mike, tried to find the minimum 5-digit number which consists of different even numbers. Katie found her number correctly, but Mike was mistaken. However, it turned out that the difference between Katie and Mike’s numbers was less than 100. What are Katie and Mike’s numbers?