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Puzzle of the Day

These puzzles are also printed in Eight days a week, a booklet published by the Association of Teachers of Mathematics.

A four-digit number is \"lucky\" if its digits add up to 6 and no digit is 0. Find all ten \"lucky\" numbers.

Answer: 1113, 1131, 1311, 3111, 1122,1212, 1221, 2112, 2121, 2211