{"id":26058,"date":"2023-05-25T14:55:25","date_gmt":"2023-05-25T13:55:25","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=26058"},"modified":"2023-05-25T15:06:19","modified_gmt":"2023-05-25T14:06:19","slug":"a-diferenca-entre-dois-numeros","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=26058","title":{"rendered":"A diferen\u00e7a entre dois n\u00fameros&#8230;"},"content":{"rendered":"\n<p><ul id='GTTabs_ul_26058' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_26058' class='GTTabs_curr'><a  id=\"26058_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_26058' ><a  id=\"26058_1\" onMouseOver=\"GTTabsShowLinks('Resolu\u00e7\u00e3o'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Resolu\u00e7\u00e3o<\/a><\/li>\n<\/ul>\n\n<div class='GTTabs_divs GTTabs_curr_div' id='GTTabs_0_26058'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>A diferen\u00e7a entre dois n\u00fameros inteiros \u00e9 24.<br \/>Se adicionarmos 8 a cada um deles, obtemos dois novos n\u00fameros em que o maior \u00e9 o tripo do menor.<\/p>\n<p>Quais s\u00e3o esses n\u00fameros inteiros?<\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_26058' onClick='GTTabs_show(1,26058)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_26058'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<blockquote>\n<p>A diferen\u00e7a entre dois n\u00fameros inteiros \u00e9 24.<br \/>Se adicionarmos 8 a cada um deles, obtemos dois novos n\u00fameros em que o maior \u00e9 o tripo do menor.<\/p>\n<p>Quais s\u00e3o esses n\u00fameros inteiros?<\/p>\n<\/blockquote>\n<p><br \/>Designemos os dois n\u00fameros inteiros por <em>x<\/em> e por <em>y<\/em>, sendo <em>x<\/em> o maior deles.<\/p>\n<p>Equacionando o problema e resolvendo o sistema, vem: \\[\\begin{array}{*{20}{l}}{\\left\\{ {\\begin{array}{*{20}{l}}{x &#8211; y = 24}\\\\{x + 8 = 3\\left( {y + 8} \\right)}\\end{array}} \\right.}&amp; \\Leftrightarrow &amp;{\\left\\{ {\\begin{array}{*{20}{l}}{x = y + 24}\\\\{y + 24 + 8 = 3y + 24}\\end{array}} \\right.}&amp; \\Leftrightarrow &amp;{\\left\\{ {\\begin{array}{*{20}{l}}{2y = 8}\\\\{x = y + 24}\\end{array}} \\right.}&amp; \\Leftrightarrow \\\\{}&amp; \\Leftrightarrow &amp;{\\left\\{ {\\begin{array}{*{20}{l}}{y = 4}\\\\{x = 28}\\end{array}} \\right.}&amp;{}&amp;{}&amp;{}\\end{array}\\]<\/p>\n<p>Portanto, os n\u00fameros s\u00e3o 28 e 4.<\/p>\n<p>\u00a0<\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_26058' onClick='GTTabs_show(0,26058)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado A diferen\u00e7a entre dois n\u00fameros inteiros \u00e9 24.Se adicionarmos 8 a cada um deles, obtemos dois novos n\u00fameros em que o maior \u00e9 o tripo do menor. Quais s\u00e3o esses n\u00fameros&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":14077,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,97,714],"tags":[424],"series":[],"class_list":["post-26058","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-8--ano","category-aplicando","category-equacoes-literais-e-sistemas","tag-8-o-ano"],"views":74,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/Mat22.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/26058","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=26058"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/26058\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/14077"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=26058"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=26058"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=26058"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=26058"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}