Maths Olympiad Prep

Track / Stage 4 / 135 of 340 #395 of 1964

Problem 395

AMC 12 late, AIME early
Number theory Difficulty 4.8 Find the answer

Write down all three-digit numbers whose sum of digits is equal to 4.

A number or a short expression. Spacing, $ signs and \frac vs / are all fine.

Official solution

Solution. Three-digit numbers whose sum of digits is equal to 4 are: 400, 310,301,130,103,220,202,211,121310, 301, 130, 103, 220, 202, 211, 121 and 112.

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