{"id":4104,"date":"2024-09-21T13:54:41","date_gmt":"2024-09-21T17:54:41","guid":{"rendered":"https:\/\/josmfs.net\/?p=4104"},"modified":"2024-09-22T07:13:11","modified_gmt":"2024-09-22T11:13:12","slug":"three-dutchmen-puzzle","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2024\/09\/21\/three-dutchmen-puzzle\/","title":{"rendered":"Three Dutchmen Puzzle"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignleft  wp-image-4112\" src=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2024\/09\/Three-Dutchmen-Fig2-1.jpg\" alt=\"\" width=\"200\" height=\"206\" srcset=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2024\/09\/Three-Dutchmen-Fig2-1.jpg 400w, https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2024\/09\/Three-Dutchmen-Fig2-1-291x300.jpg 291w\" sizes=\"auto, (max-width: 200px) 100vw, 200px\" \/>Presh Talwalkar presented an interesting puzzle that originated in the <em>Ladies\u2019 Diary<\/em> of 1739-40, was recast by Henry Dudeney in 1917, and further modified using American money.<\/p>\n<p>\u201cEach of three Dutchmen, named Hendrick, Elas, and Cornelius has a wife. The three wives have names Gurtr\u00fcn, Katr\u00fcn, and Anna (but not necessarily matching the husband\u2019s names in that order). All six go to the market to buy hogs.<\/p>\n<p>Each person buys as many hogs as he or she pays dollars for one. (1 hog costs $1, 2 hogs are $2 each, 3 hogs cost $3 each, etc.) In the end, each husband has spent $63 more than his wife. Hendrick buys 23 more hogs than Katr\u00fcn, and Elas 11 more than Gurtr\u00fcn. Now, what is the name of each man\u2019s wife?\u201d<\/p>\n<p>See the <a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2024\/09\/Three-Dutchmen-Puzzle-240831-1.pdf\">Three Dutchmen Puzzle<\/a> for solutions.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Presh Talwalkar presented an interesting puzzle that originated in the Ladies\u2019 Diary of 1739-40, was recast by Henry Dudeney in 1917, and further modified using American money. \u201cEach of three Dutchmen, named Hendrick, Elas, and Cornelius has a wife. The three wives have names Gurtr\u00fcn, Katr\u00fcn, and Anna (but not necessarily matching the husband\u2019s names [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[28,136,17],"class_list":["post-4104","post","type-post","status-publish","format-standard","hentry","category-puzzles-and-problems","tag-henry-dudeney","tag-ladies-diary","tag-presh-talwalkar"],"_links":{"self":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/4104","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/comments?post=4104"}],"version-history":[{"count":3,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/4104\/revisions"}],"predecessor-version":[{"id":4113,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/4104\/revisions\/4113"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=4104"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=4104"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=4104"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}