Track / Stage 4 / 235 of 340 #495 of 1964

Problem 495

AMC 12 late, AIME early

Number theory Difficulty 4.9 Find the answer

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

Your answer

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 reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.