Consecutive Numbers

a. Avi wants to find 10 consecutive numbers whose sum is divisible by 90. Will he succeed?
b. Benny wants to find 11 consecutive numbers such that their sum is divisible by 90. Will he succeed?

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

Topics:
Arithmetic Number Theory -> Modular Arithmetic / Remainder Arithmetic -> Divisibility Rules Number Theory -> Division -> Parity (Even/Odd) Algebra -> Sequences
Sources:
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