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수학동아 - 폴리매스
함께 풀고 싶은 문제
창의력을 기를 수 있는 수학 문제 또는 퍼즐을 내는 곳입니다.
[창의 퍼즐] [★★★★☆] 책 파먹는 책벌레
솔바람
2021.01.10 23:00
조회 618
<문제>
한 책장에는 6권의 책이 꽂혀져 있는데, 그중 맨 왼쪽에 있는 책을 1번, 맨 오른쪽에 있는 책을 6번이라 하자.
그리고 이중 두 권은 뒤집어져 있어 겉표지가 보이지 않는다고 한다.(오른쪽이 뒷면)
월요일 밤 첫 번째 책벌레가 1번 책의 앞면부터 4번 책의 뒷면까지 파먹었다.
화요일 아침에, 짐들을 옮기기 위해 6번 책이 가장 위쪽, 1번 책이 가장 아래쪽에 오도록 책을 내려놓았다.
화요일 밤 두 번째 책벌레가 6번 책의 앞면부터 3번 책의 앞면까지 파먹었다.
수요일 아침에, 책들을 새로운 책장에 꽂아넣고 뒤집어진 책들을 바로잡아 정리하였다.
수요일 밤 세 번째 책벌레가 4번 책의 뒷면부터 5번 책의 앞면까지 파먹었다.
목요일 아침에, 책벌레에 의한 피해를 조사해 보니 다음과 같았다.
1번 < 2번 = 6번 < 3번 < 5번 < 4번
그런데 세 마리의 책벌레가 모두 책의 앞면부터 뒷면까지 전부 파먹은 책은 없었다고 한다.
그렇다면 처음에 뒤집어져 있었던 책 두 권은 각각 몇 번인지 구하여라.
(단, 책벌레의 이동 경로는 서로 겹치지 않는다.)
※ 풀이 필수 ※
-
솔바람
Lv.10
2021.01.10 23:09
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