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IKMC 2027 - Grades 5-6 - Self-study SET 8 - Thematic Batch 3 Question 22

IKMC · IKMC 2027 - Grades 5-6 - Self-study SET 8 - Thematic Batch 3

Question 22

Forgetful Rio is lost in an ancient tomb. Twelve doors form an arc, and only door 11 is an exit. Each door has a numerical code. Rio remembers that door 1 has code 5, door 12 has code 9, and the codes of any three consecutive doors sum to 22.

1. Find the sum of the codes of doors 2 and 3, and the code of door 4.
2. Find the sum for doors 5 and 6, the code of door 7 and, similarly, the code of door 10.
3. Find the code of door 11 so Rio can escape.

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