Maths Olympiad Prep

Track / Stage 4 / 219 of 340 #479 of 1964

Problem 479

AMC 12 late, AIME early
Number theory Difficulty 4.9 Find the answer

19. Divide the natural numbers 1,2,3,4,...,20191,2,3,4, \ldots . . ., 2019 into 20 groups so that the average of each group is equal. What is the average of each group? \qquad

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Official solution

Reference answer: 1010

Exam point: Calculation -- average

Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic, difficulty and ordering added by this site.