MathDB

Samuel Tsui and Jason Yang each chose a different integer between

1

and

60

, inclusive. They don’t know each others’ numbers, but they both know that the other person’s number is between

1

and

60

and distinct from their own. They have the following conversation: Samuel Tsui: Do our numbers have any common factors greater than

1

? Jason Yang: Definitely not. However their least common multiple must be less than

2023

. Samuel Tsui: Ok, thismeans that the sumof the factors of our two numbers are equal. What is the sumof Samuel Tsui’s and Jason Yang’s numbers?
Proposed by Samuel Tsui

Problem Statement