MathDB

5

Part of 2003 Korea Junior Math Olympiad

Problems(1)

2003 KJMO P5 remainder always 1

Source: 2003 KJMO P5

6/29/2024
Four odd positive intgers a,b,c,d(a≤b≤c≤d)a, b, c, d (a\leq b \leq c\leq d) are given. Choose any three numbers among them and divide their sum by the un-chosen number, and you will always get the remainder as 11. Find all (a,b,c,d)(a, b, c, d) that satisfies this.
number theoryKJMOIntegers