{"id":3978,"date":"2024-05-25T09:41:04","date_gmt":"2024-05-25T13:41:04","guid":{"rendered":"https:\/\/josmfs.net\/?p=3978"},"modified":"2024-05-25T09:41:04","modified_gmt":"2024-05-25T13:41:04","slug":"additional-page-problem","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2024\/05\/25\/additional-page-problem\/","title":{"rendered":"Additional Page Problem"},"content":{"rendered":"

\"\"This is a clever puzzle from the 1986 AIME problems.<\/p>\n

\u201cThe pages of a book are numbered 1 through n<\/em>. When the page numbers of the book were added, one of the page numbers was mistakenly added twice, resulting in an incorrect sum of 1986. What was the number of the page that was added twice?\u201d<\/p>\n

Answer<\/a><\/p>\n

See the Additional Page Problem<\/a>\u00a0for the solution.<\/p>\n","protected":false},"excerpt":{"rendered":"

This is a clever puzzle from the 1986 AIME problems. \u201cThe pages of a book are numbered 1 through n. When the page numbers of the book were added, one of the page numbers was mistakenly added twice, resulting in an incorrect sum of 1986. What was the number of the page that was added […]<\/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":[238,133],"class_list":["post-3978","post","type-post","status-publish","format-standard","hentry","category-puzzles-and-problems","tag-aime","tag-algebra"],"_links":{"self":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/3978","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=3978"}],"version-history":[{"count":1,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/3978\/revisions"}],"predecessor-version":[{"id":3979,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/3978\/revisions\/3979"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=3978"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=3978"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=3978"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}