{"id":61,"date":"2010-07-13T15:57:26","date_gmt":"2010-07-13T15:57:26","guid":{"rendered":"http:\/\/mathriddles.williams.edu\/?p=61"},"modified":"2025-01-27T09:41:32","modified_gmt":"2025-01-27T14:41:32","slug":"sum-things-are-the-product-of-twisted-minds","status":"publish","type":"post","link":"https:\/\/sites.williams.edu\/mathriddles\/difficulty\/hard\/sum-things-are-the-product-of-twisted-minds\/","title":{"rendered":"Sum Things are Products of Twisted Minds"},"content":{"rendered":"<p>Two people, named S and P, are talking about two numbers x and y, with x and y both integers greater than or equal to 2. S knows their sum (x+y), while P knows their product (xy); however, initially NEITHER knows x and y.<\/p>\n<p>S: Hey P! I don&#8217;t know what the numbers are.<br \/>\nP: I&#8217;m not surprised. I KNEW you didn&#8217;t know. However, I too don&#8217;t know.<br \/>\nS: You don&#8217;t? Really! Then I know what the numbers are!<\/p>\n<p>What are the two numbers?<\/p>\n<p>Communicated by Kathryn Sievers.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Two people, named S and P, are talking about two numbers x and y, with x and y both integers greater than or equal to 2. S knows their sum (x+y), while P knows their product (xy); however, initially NEITHER knows x and y. S: Hey P! I don&#8217;t know what the numbers are. P:&hellip;<\/p>\n","protected":false},"author":2861,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[14,6,17],"tags":[],"class_list":["post-61","post","type-post","status-publish","format-standard","hentry","category-general","category-hard","category-logic"],"acf":[],"_links":{"self":[{"href":"https:\/\/sites.williams.edu\/mathriddles\/wp-json\/wp\/v2\/posts\/61","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sites.williams.edu\/mathriddles\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/sites.williams.edu\/mathriddles\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/sites.williams.edu\/mathriddles\/wp-json\/wp\/v2\/users\/2861"}],"replies":[{"embeddable":true,"href":"https:\/\/sites.williams.edu\/mathriddles\/wp-json\/wp\/v2\/comments?post=61"}],"version-history":[{"count":1,"href":"https:\/\/sites.williams.edu\/mathriddles\/wp-json\/wp\/v2\/posts\/61\/revisions"}],"predecessor-version":[{"id":1185,"href":"https:\/\/sites.williams.edu\/mathriddles\/wp-json\/wp\/v2\/posts\/61\/revisions\/1185"}],"wp:attachment":[{"href":"https:\/\/sites.williams.edu\/mathriddles\/wp-json\/wp\/v2\/media?parent=61"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/sites.williams.edu\/mathriddles\/wp-json\/wp\/v2\/categories?post=61"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/sites.williams.edu\/mathriddles\/wp-json\/wp\/v2\/tags?post=61"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}