{"id":1404,"date":"2019-11-30T06:49:22","date_gmt":"2019-11-30T06:49:22","guid":{"rendered":"https:\/\/blogs.ua.es\/dimates\/?p=1404"},"modified":"2019-11-30T06:49:22","modified_gmt":"2019-11-30T06:49:22","slug":"solucion-a-un-gran-numero","status":"publish","type":"post","link":"https:\/\/blogs.ua.es\/dimates\/2019\/11\/30\/solucion-a-un-gran-numero\/","title":{"rendered":"Soluci\u00f3n a un gran n\u00famero"},"content":{"rendered":"<pre>Problema 0 de la Olitele 2019\r\nSe dirige a una edad de: 16-17 a\u00f1os<\/pre>\n<p>Si A es el n\u00famero 111&#8230;111 que se escribe con 2019 cifras iguales a 1, \u00bfcu\u00e1l es la suma de las cifras del n\u00famero que es el resultado del producto de A por 2020?<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-1401\" src=\"https:\/\/blogs.ua.es\/dimates\/files\/2019\/11\/121.Ungrannumero.png\" alt=\"\" width=\"300\" height=\"300\" srcset=\"https:\/\/blogs.ua.es\/dimates\/files\/2019\/11\/121.Ungrannumero.png 300w, https:\/\/blogs.ua.es\/dimates\/files\/2019\/11\/121.Ungrannumero-150x150.png 150w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><br \/>\nSoluci\u00f3n:<br \/>\n<!--more--><br \/>\nDebemos pensar c\u00f3mo multiplicas por 2020.<\/p>\n<p>Si multiplicas un n\u00famero formado con unos por 2, tienes un n\u00famero con doses.<\/p>\n<p>Y sumar un n\u00famero con doses, da cuatros. En total nunca superaremos el nueve, por lo que la suma de sus cifras ser\u00e1 2019\u00b74 = 8076.<\/p>\n<p>En cualquier caso, experimentar con n\u00fameros menores ser\u00e1 una experiencia muy v\u00e1lida para el c\u00e1lculo final, ya que:<\/p>\n<p>1\u00b72020 = 2020<\/p>\n<p>11\u00b72020 = 22220<\/p>\n<p>111\u00b72020 = 2244220<\/p>\n<p>1111\u00b72020 = 224444220<\/p>\n<p>Y, claro, se vuelve muy predecible.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Problema 0 de la Olitele 2019 Se dirige a una edad de: 16-17 a\u00f1os Si A es el n\u00famero 111&#8230;111 que se escribe con 2019 cifras iguales a 1, \u00bfcu\u00e1l es la suma de las cifras del n\u00famero que es el resultado del producto de A por 2020? Soluci\u00f3n:<\/p>\n","protected":false},"author":4267,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1738,2242014,2849,3303],"tags":[],"class_list":["post-1404","post","type-post","status-publish","format-standard","hentry","category-olimpiadas","category-olitele","category-problemas","category-soluciones"],"_links":{"self":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/1404","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=1404"}],"version-history":[{"count":2,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/1404\/revisions"}],"predecessor-version":[{"id":1406,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/1404\/revisions\/1406"}],"wp:attachment":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/media?parent=1404"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/categories?post=1404"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/tags?post=1404"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}