What's the Number?

Find a three-digit number that, when we add 1 to it, is divisible by 7; when we add 2 to it, is divisible by 8; and when we add 3 to it, is divisible by 9.

Difficulty level (1 very easy - 10 very hard): 3

Number Theory -> Modular Arithmetic / Remainder Arithmetic -> Divisibility Rules

Sources:

Young Mathematician Olympiad, 2017-2018, Stage A, Grades 5-6 Question 4

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