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수학동아 - 폴리매스
함께 풀고 싶은 문제
깊이 고민해볼 수 있는 수학 문제를 내는 곳입니다
Sagan
2020.11.04 20:28
조회 553
우리가 아는 수학자 '세이' 와 다른 수학자 A, 그리고 탐정 '건' 있다. 그들이 지금부터 하는말에 집중해보자.
건: 세이, 당신은 나에게 기막힌 문제를 보여준다고 했죠.
세이:그렇습니다.지금부터 보시죠.
(세이 와 수학자 A는 상자에서 임의의 양의 정수를 뽑는다.)
(세이 가 자신이 고른 임의의 양의 정수를 건에게 귓속말로 전한다)
세이: 혼자만 알고계세요.
건:(고개를 끄덕인다)
(수학자A 가 자신이 고른 임의의 양의 정수(세이의 것과 다른)를 건에게 귓속말로 전한다.)
수학자 A: 역시 혼자만 알고계셔야 합니다.
건:(고개를 끄덕인다)
세이:이제 두 수를 순서없이 칠판에 적어주십시오. 단, 하나의 수는 저희가 얘기한 두 수를더한 수이고, 다른 하나는 저희가 모르는 임의의 수여야 합니다.
건:(숫자를 칠판에 적는다)
수학자 A: (세이를 바라보며) 내 수가 뭔지 알겠나?
세이: 아니, 모르겠네.
세이:자네는 내 수가 뭔지 알겠나?
수학자 A: 아니, 모르겠네
(이 과정을 반복한다)
세이:자네는 내 수가 뭔지 알겠나?
수학자 A:아, 이제 알겠네!!!
(수학자 A는 세이가 선택한 수를 말한다.)
건:아...아니.. 어떻게 하신 겁니까?
세이:그건...
과연 세이는 뭐라고 대답했을까?
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너무나도 유명하고 풀이가 잘 알려져있지만 서술형으로 적긴 귀찮으니 패스(?
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Sagan
Lv.6
2020.11.05 02:51
좋아요0
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솔직히 엄청 잘 알려진 문제긴 하잖아요
조금 수준있는 수학퍼즐책 찾아보면 이문제 많이 나오던데요...?
하지만 풀이를 폰으로 적는건 귀찮아서 패스합니다
-
PF＿
Lv.8
2021.03.29 02:49
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PF＿
Lv.8
2021.04.06 02:48
좋아요0
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