MathDB
Counting problem with digits

Source: OMEC Ecuador National Olympiad Final Round 2023 N3 P4 day 2

November 6, 2024
national olympiadcombinatorics

Problem Statement

A number is additive if it has three digits, all of them are different and the sum of two of the digits is equal to the remaining one. (For example, 123(1+2=3),945(4+5=9)123 (1+2=3), 945 (4+5=9)). Find the sum of all additive numbers.
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