IMO 2023 Shortlist N7
Let a,b,c,d be positive integers satisfying ab a b cd c d “ pa bqpc dq a b c d . Determine all possible values of a b c ...
Category: Number Theory
Problem
Let a,b,c,d be positive integers satisfying
ab
a b
cd
c d “ pa bqpc dq a b c d
.
Determine all possible values of a b c ` d.
(Netherlands)