2

Part of 2004 Flanders Math Olympiad

Problems(1)

Source: Flanders Math Olympiad 2004 (held today)

Two bags contain some numbers, and the total number of numbers is prime. When we tranfer the number 170 from 1 bag to bag 2, the average in both bags increases by one. If the total sum of all numbers is 2004, find the number of numbers.