{"id":142128,"date":"2019-11-21T16:36:39","date_gmt":"2019-11-21T18:36:39","guid":{"rendered":"http:\/\/clubes.obmep.org.br\/blog\/?page_id=142128"},"modified":"2023-06-09T04:12:35","modified_gmt":"2023-06-09T07:12:35","slug":"problema-desafio-das-letras","status":"publish","type":"page","link":"https:\/\/clubes.obmep.org.br\/blog\/problema-desafio-das-letras\/","title":{"rendered":".Problema: Desafio das letras"},"content":{"rendered":"<p style=\"margin:10px\">\n<div class=\"g1n\" style=\"line-height:25px;\">\n<p class=\"tit\" style=\"line-height:20px;margin:10px\">Problema<br \/>\n<span style=\"font-size:12px;color:#800000\"> (Indicado a partir do 8\u00ba ano do E. F.)<\/span><\/p>\n<hr style=\"height:1px; width:100%;background-color:#800000; margin-top: 10px; margin-bottom: 20px;border: 0 none\"\/>\n<p><span style=\"font-size:12px;\">(<strong>The Big Book of Mind-Bending Puzzles<\/strong>,2006,  STICKELS. T. &#8211; Adaptado)<\/span> Se [tex]B+P+F=24[\/tex], quais s\u00e3o os valores de [tex] Q [\/tex] e [tex] T [\/tex]  que satisfazem as equa\u00e7\u00f5es abaixo? <\/p>\n<ul>\n<li>[tex]  A+B=Z [\/tex]; <\/li>\n<li>[tex] Z+P=T [\/tex]; <\/li>\n<li>[tex] T+A=F [\/tex]; <\/li>\n<li>[tex]  Q-T = 7[\/tex].<\/li>\n<\/ul>\n<p style=\"margin:10px\">\n<\/div>\n<p style=\"margin:40px\">\n<div class=\"g1n\" style=\"line-height:33px;\">\n<p class=\"tit\" style=\"line-height:30px;margin:10px\">Solu\u00e7\u00e3o<\/p>\n<hr style=\"height:1px; width:100%;background-color:#800000; margin-top: 1px; margin-bottom: 20px;border: 0 none\"\/>\n<ul>\n<li>Somando as equa\u00e7\u00f5es [tex] \\boxed{A+B=Z}[\/tex] e [tex]\\boxed{Z+P=T}[\/tex], conclu\u00edmos  que [tex] A+B+P=T.[\/tex]<\/li>\n<li>Somando agora as equa\u00e7\u00f5es [tex]\\boxed{T+A= F} [\/tex] e [tex]\\boxed{A+B+P =T} [\/tex], conclu\u00edmos que [tex] 2A+B+P=F.[\/tex]<\/li>\n<li>Subtraindo as equa\u00e7\u00f5es [tex]\\boxed{2A+B+P = F}[\/tex] e [tex] \\boxed{B+P+F = 24}[\/tex], conclu\u00edmos [tex] 24 + 2A =2F[\/tex], ou seja, [tex]12 + A=F.[\/tex]<\/li>\n<li>Subtraindo as equa\u00e7\u00f5es [tex]\\boxed{T+A = F}[\/tex] e [tex]\\boxed{12 +A =F}[\/tex], conclu\u00edmos que [tex] T-12=0 [\/tex], ou seja, [tex] \\fcolorbox{black}{#eee0e5}{$T=12$}\\,.[\/tex]<\/li>\n<li>Como [tex]\\boxed{Q-T= 7} [\/tex] e [tex]\\boxed{ T=12}[\/tex], ent\u00e3o  [tex]Q-12=7[\/tex] e assim [tex] \\fcolorbox{black}{#eee0e5}{$Q=19$}\\,.[\/tex]<\/li>\n<\/ul>\n<hr style=\"height:1px; width:100%;background-color:#800000; margin-top: 10px; margin-bottom: 15px;border: 0 none\"\/>\n<p class=\"g2\" style=\"line-height:20px;\">Solu\u00e7\u00e3o elaborada pelos <strong>Moderadores do Blog<\/strong>.<\/p>\n<\/div>\n<p style=\"margin:10px\">\n","protected":false},"excerpt":{"rendered":"<p>Problema (Indicado a partir do 8\u00ba ano do E. F.) (The Big Book of Mind-Bending Puzzles,2006, STICKELS. T. &#8211; Adaptado) Se [tex]B+P+F=24[\/tex], quais s\u00e3o os valores de [tex] Q [\/tex] e [tex] T [\/tex] que satisfazem as equa\u00e7\u00f5es abaixo? [tex] A+B=Z [\/tex]; [tex] Z+P=T [\/tex]; [tex] T+A=F [\/tex]; [tex] Q-T = 7[\/tex]. Solu\u00e7\u00e3o Somando as &hellip; <\/p>\n<p><a class=\"more-link btn\" href=\"https:\/\/clubes.obmep.org.br\/blog\/problema-desafio-das-letras\/\">Continue lendo<\/a><\/p>\n","protected":false},"author":732,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"template-onecolumn.php","meta":{"footnotes":""},"class_list":["post-142128","page","type-page","status-publish","hentry","nodate","item-wrap"],"_links":{"self":[{"href":"https:\/\/clubes.obmep.org.br\/blog\/wp-json\/wp\/v2\/pages\/142128","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/clubes.obmep.org.br\/blog\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/clubes.obmep.org.br\/blog\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/clubes.obmep.org.br\/blog\/wp-json\/wp\/v2\/users\/732"}],"replies":[{"embeddable":true,"href":"https:\/\/clubes.obmep.org.br\/blog\/wp-json\/wp\/v2\/comments?post=142128"}],"version-history":[{"count":31,"href":"https:\/\/clubes.obmep.org.br\/blog\/wp-json\/wp\/v2\/pages\/142128\/revisions"}],"predecessor-version":[{"id":193867,"href":"https:\/\/clubes.obmep.org.br\/blog\/wp-json\/wp\/v2\/pages\/142128\/revisions\/193867"}],"wp:attachment":[{"href":"https:\/\/clubes.obmep.org.br\/blog\/wp-json\/wp\/v2\/media?parent=142128"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}