{"id":65053,"date":"2019-11-03T20:05:40","date_gmt":"2019-11-03T17:05:40","guid":{"rendered":"https:\/\/www.lovendal.ro\/wp52\/?p=65053"},"modified":"2019-11-03T20:05:40","modified_gmt":"2019-11-03T17:05:40","slug":"un-puzzle-matematic-cu-3-copii-care-pare-imposibil-dar-nu-i-chiar-asa","status":"publish","type":"post","link":"https:\/\/www.lovendal.ro\/wp52\/un-puzzle-matematic-cu-3-copii-care-pare-imposibil-dar-nu-i-chiar-asa\/","title":{"rendered":"Un puzzle matematic cu 3 copii, care pare imposibil, dar nu-i chiar a\u015fa…"},"content":{"rendered":"
\"\"<\/a>
Imagine:<\/strong> pixabay.com<\/strong><\/a> (Commons Creative – free)<\/figcaption><\/figure>\n

\u00cen acest articol pute\u0163i citi un nou puzzle matematic. De\u015fi problema pare imposibil\u0103 la prima vedere (nu exist\u0103 date matematice complete), totu\u015fi, cu logic\u0103, puzzle-ul poate fi rezolvat. A\u015fadar, avem urm\u0103toarea problem\u0103:<\/p>\n

Un operator de recens\u0103m\u00e2nt viziteaz\u0103 casa unui matematician \u0219i cere v\u00e2rstele copiilor s\u0103i. Matematicianul \u00eei r\u0103spunde: \u201ePermite\u021bi-mi s\u0103 v\u0103 ofer o ghicitoare, pentru a face totul mai interesant. Dac\u0103 aduna\u0163i v\u00e2rstele celor 3 copii ai mei, ve\u021bi ob\u021bine num\u0103rul casei mele, iar dac\u0103 \u00eenmul\u021bi\u021bi v\u00e2rstele copiilor mei, ve\u021bi ob\u021bine 72\u201d.<\/em><\/strong><\/p>\n

Operatorul de recens\u0103m\u00e2nt \u00eencearc\u0103 s\u0103 rezolve problema, dar, \u00een cele din urm\u0103 r\u0103spunde: \u201e\u00cenc\u0103 nu \u0219tiu.\u201d <\/em>Matematicianul r\u0103spunde: \u201eAm uitat s\u0103 men\u021bionez: copilul meu cel mai mare ador\u0103 pr\u0103jiturile cu ciocolat\u0103.\u201d <\/em><\/strong><\/p>\n

Operatorul de recens\u0103m\u00e2nt \u015fi-a dat seama imediat de r\u0103spuns. Care sunt v\u00e2rstele celor 3 copii?<\/strong><\/p>\n

La prima vedere, aceast\u0103 problem\u0103 pare imposibil din punct de vedere matematic. \u015ei asta pentru c\u0103 avem 4 necunoscute cu 2 ecua\u0163ii. Noi nu \u015ftim num\u0103rul casei unde locuie\u015fte matematicianul, ceea ce \u00eenseamn\u0103 c\u0103 operatorul de recens\u0103m\u00e2nt are parte de 3 necunoscute, cu 2 ecua\u0163ii. Lui i-ar mai fi necesar un indiciu matematic, \u00eens\u0103 acesta nu poate fi cuantificat: „Am uitat s\u0103 men\u021bionez: copilul meu cel mai mare ador\u0103 pr\u0103jiturile cu ciocolat\u0103.\u201d<\/em><\/p>\n

a + b + c = d<\/strong>
\na x b x c = 72<\/strong>
\n, \u00een care a, b \u015fi c reprezint\u0103 v\u00e2rstele celor 3 copii, iar d reprezint\u0103 num\u0103rul casei unde locuie\u015fte matematicianul.<\/p>\n

Acum, s\u0103 lu\u0103m \u00eenc\u0103 o dat\u0103 indiciile \u015fi s\u0103 ne juc\u0103m mai \u00eent\u00e2i cu matematica. \u015etim c\u0103 produsul a 3 numere d\u0103 72. Din acest punct de vedere, avem doar urm\u0103toarele variante posibile:
\n1, 1, 72
\n1, 2, 36
\n1, 3, 24
\n1, 4, 18
\n1, 6, 12
\n1, 8, 9
\n2, 2, 18
\n2, 3, 12
\n2, 4, 9
\n2, 6, 6
\n3, 3, 8
\n3, 4, 6<\/p>\n

Deci, avem 12 versiuni de r\u0103spuns corect. Dintre acestea, scoatem versiunile cu v\u00e2rsta mai mare sau egal\u0103 cu 18 ani, a\u015fadar, r\u0103m\u00e2n urm\u0103toarele 7 variante:
\n1, 6, 12
\n1, 8, 9
\n2, 3, 12
\n2, 4, 9
\n2, 6, 6
\n3, 3, 8
\n3, 4, 6<\/p>\n

Acum, s\u0103 vedem c\u00e2t fac suma acestor variante (care d\u0103 num\u0103rul casei matematicianului, pe care operatorul \u00eel cunoa\u015fte, dar nu \u015fi noi):
\n1 + 6 + 12 = 19
\n1 + 8 + 9 = 18
\n2 + 3 + 12 = 17
\n2 + 4 + 9 = 15
\n2 + 6 + 6 = 14
\n3 + 3 + 8 = 14
\n3 + 4 + 6 = 13<\/p>\n

Vede\u0163i? Avem 5 posibilit\u0103\u0163i diferite de num\u0103r de cas\u0103 (13, 15, 17, 18, 19) \u015fi dou\u0103 posibilit\u0103\u0163i care d\u0103 acela\u015fi num\u0103r (14). Cum operatorul \u015ftia num\u0103rul casei, oricare variant\u0103 ar fi fost (13, 15, 17, 18, 19) el putea g\u0103si solu\u0163ia la problema matematicianului. \u00cens\u0103 nu poate ghici v\u00e2rsta celor 3 copii, pentru c\u0103 are de ales \u00eentre 2 posibilit\u0103\u0163i: 2 + 6 + 6 = 14 \u015fi 3 + 3 + 8 = 14, ambele d\u00e2nd num\u0103rul 14 (acesta trebuie s\u0103 fie num\u0103rul casei matematicianului). A\u015fadar, care din cele 2 versiuni e cea corect\u0103? Operatorul de statistic\u0103 mai avea nevoie de un indiciu, iar acesta este: \u201eAm uitat s\u0103 men\u021bionez: copilul meu cel mai mare ador\u0103 pr\u0103jiturile cu ciocolat\u0103.\u201d <\/em><\/p>\n

Aceasta \u00eenseamn\u0103 c\u0103\u00a0 matematicianul are un copil care e mai mare dec\u00e2t cei doi. Prima versiune cade (2 \/ 6 \/ 6), pentru c\u0103 astfel ar fi vorba de 2 copii cu v\u00e2rste egale (6 ani). Versiunea corect\u0103 trebuie s\u0103 fie 3 ani \/ 3 ani \/ 8 ani<\/strong>, \u00eentruc\u00e2t \u00een cazul acesta exist\u0103 doar un singur „copil cel mai mare”.<\/p>\n

Sursa<\/strong><\/em> (traducerea \u015fi adaptarea proprie): mindyourdecisions.com<\/strong><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"

\u00cen acest articol pute\u0163i citi un nou puzzle matematic. De\u015fi problema pare imposibil\u0103 la prima vedere (nu exist\u0103 date matematice complete), totu\u015fi, cu logic\u0103, puzzle-ul poate fi rezolvat. A\u015fadar, avem urm\u0103toarea problem\u0103: Un operator de recens\u0103m\u00e2nt viziteaz\u0103 casa unui matematician … <\/p>\n

Cititi mai multe<\/a><\/p>\n","protected":false},"author":1,"featured_media":65057,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[91],"tags":[2050,1355,1722,679,9801,3507,11711,13908],"class_list":["post-65053","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-monden","tag-ciocolata","tag-copil","tag-matematica","tag-matematician","tag-monden","tag-numar","tag-prajitura","tag-statistica","resize-featured-image"],"yoast_head":"\nUn puzzle matematic cu 3 copii, care pare imposibil, dar nu-i chiar a\u015fa... - Secretele lui Lovendal<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.lovendal.ro\/wp52\/un-puzzle-matematic-cu-3-copii-care-pare-imposibil-dar-nu-i-chiar-asa\/\" \/>\n<meta property=\"og:locale\" content=\"ro_RO\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Un puzzle matematic cu 3 copii, care pare imposibil, dar nu-i chiar a\u015fa...\" \/>\n<meta property=\"og:description\" content=\"\u00cen acest articol pute\u0163i citi un nou puzzle matematic. 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