Maths Olympiad Prep

Track / Stage 4 / 151 of 340 #411 of 1964

Problem 411

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. Fractions can be typed as 3/2, and spacing doesn't matter.

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