{"id":550,"date":"2018-06-03T17:10:26","date_gmt":"2018-06-03T17:10:26","guid":{"rendered":"https:\/\/blogs.ua.es\/dimates\/?p=550"},"modified":"2018-06-09T06:47:50","modified_gmt":"2018-06-09T06:47:50","slug":"un-cuadrado-casi-magico","status":"publish","type":"post","link":"https:\/\/blogs.ua.es\/dimates\/2018\/06\/03\/un-cuadrado-casi-magico\/","title":{"rendered":"Un cuadrado casi m\u00e1gico"},"content":{"rendered":"<pre>Problema 4 del Nivel 1 de la Olimpiada de Mayo de 2016\r\nSe dirige a una edad de: 12 a\u00f1os<\/pre>\n<p>Dado un tablero de 3 x 3, se quiere escribir en sus casillas los n\u00fameros 1, 2, 3, 4, 5, 6, 7, 8 y un n\u00famero entero positivo M, no necesariamente distinto de los anteriores. El objetivo es que la suma de los tres n\u00fameros de cada fila sea la misma.<\/p>\n<p>a) Hallar todos los valores de M para los que esto es posible.<\/p>\n<p>b) \u00bfPara cu\u00e1les de los valores de M hallados en (a) es posible acomodar los n\u00fameros de modo que no solo las tres filas sumen lo mismo sino que tambi\u00e9n las tres columnas sumen lo mismo?<br \/>\n<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogs.ua.es\/dimates\/files\/2018\/06\/45.uncuadradocasimagico.png\" alt=\"\" width=\"300\" height=\"300\" class=\"aligncenter size-full wp-image-551\" srcset=\"https:\/\/blogs.ua.es\/dimates\/files\/2018\/06\/45.uncuadradocasimagico.png 300w, https:\/\/blogs.ua.es\/dimates\/files\/2018\/06\/45.uncuadradocasimagico-150x150.png 150w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><br \/>\nSoluci\u00f3n: <a href=\"https:\/\/blogs.ua.es\/dimates\/2018\/06\/09\/solucion-a-un-cuadrado-casi-magico\/\">Aqu\u00ed<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Problema 4 del Nivel 1 de la Olimpiada de Mayo de 2016 Se dirige a una edad de: 12 a\u00f1os Dado un tablero de 3 x 3, se quiere escribir en sus casillas los n\u00fameros 1, 2, 3, 4, 5, 6, 7, 8 y un n\u00famero entero positivo M, no necesariamente distinto de los anteriores. [&hellip;]<\/p>\n","protected":false},"author":4267,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1738,2849],"tags":[],"class_list":["post-550","post","type-post","status-publish","format-standard","hentry","category-olimpiadas","category-problemas"],"_links":{"self":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/550","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/users\/4267"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/comments?post=550"}],"version-history":[{"count":2,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/550\/revisions"}],"predecessor-version":[{"id":557,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/550\/revisions\/557"}],"wp:attachment":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/media?parent=550"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/categories?post=550"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/tags?post=550"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}