{"id":2954,"date":"2023-07-23T08:24:09","date_gmt":"2023-07-23T08:24:09","guid":{"rendered":"https:\/\/blogs.ua.es\/dimates\/?p=2954"},"modified":"2023-07-30T11:08:19","modified_gmt":"2023-07-30T11:08:19","slug":"solucion-a-sumas-de-numeros-consecutivos","status":"publish","type":"post","link":"https:\/\/blogs.ua.es\/dimates\/2023\/07\/23\/solucion-a-sumas-de-numeros-consecutivos\/","title":{"rendered":"Soluci\u00f3n a sumas de n\u00fameros consecutivos"},"content":{"rendered":"<pre>Problema 1 del primer nivel de la Olimpiada de Mayo 2023\r\nSe dirige a una edad de: 11-12 a\u00f1os<\/pre>\n<p>Juanita escribi\u00f3 los n\u00fameros del 1 al 13, calcul\u00f3 la suma de todos los d\u00edgitos que hab\u00eda escrito y obtuvo 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 1 + 0 + 1 + 1 + 1 + 2 + 1 + 3 = 55.<\/p>\n<p>Su hermano Ariel escribi\u00f3 los n\u00fameros del 1 al 100 y calcul\u00f3 la suma de todos los d\u00edgitos escritos.<\/p>\n<p>Halla el valor de la suma de Ariel.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-2950\" src=\"https:\/\/blogs.ua.es\/dimates\/files\/2023\/07\/307.Sumas_.png\" alt=\"\" width=\"300\" height=\"300\" srcset=\"https:\/\/blogs.ua.es\/dimates\/files\/2023\/07\/307.Sumas_.png 300w, https:\/\/blogs.ua.es\/dimates\/files\/2023\/07\/307.Sumas_-150x150.png 150w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><br \/>\nSoluci\u00f3n:<br \/>\n<!--more--><br \/>\nLa clave consiste en sumar bloques de d\u00edgitos consecutivos, ya que los n\u00fameros del 1 al 9 suman 45 y est\u00e1n repetidos 10 veces, contando los n\u00fameros del 1 al 99, as\u00ed que sumar\u00e1n 450.<\/p>\n<p>Por otra parte, los d\u00edgitos que forman las decenas de nuevo ser\u00e1n los del 1 al 9, repetidos cada uno de ellos 10 veces, as\u00ed que volver\u00e1n a sumar 450.<\/p>\n<p>Y en cuanto a los d\u00edgitos de las centenas, por haber s\u00f3lo uno, un 1, s\u00f3lo aporta una unidad a la suma, teniendo un total de 901.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Problema 1 del primer nivel de la Olimpiada de Mayo 2023 Se dirige a una edad de: 11-12 a\u00f1os Juanita escribi\u00f3 los n\u00fameros del 1 al 13, calcul\u00f3 la suma de todos los d\u00edgitos que hab\u00eda escrito y obtuvo 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + [&hellip;]<\/p>\n","protected":false},"author":4267,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2242027,1738,2849,3303],"tags":[],"class_list":["post-2954","post","type-post","status-publish","format-standard","hentry","category-mayo","category-olimpiadas","category-problemas","category-soluciones"],"_links":{"self":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/2954","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=2954"}],"version-history":[{"count":1,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/2954\/revisions"}],"predecessor-version":[{"id":2955,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/2954\/revisions\/2955"}],"wp:attachment":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/media?parent=2954"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/categories?post=2954"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/tags?post=2954"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}