{"id":21056,"date":"2026-07-20T19:44:02","date_gmt":"2026-07-20T19:44:02","guid":{"rendered":"https:\/\/ideerepas.milaf.ma\/?p=21056"},"modified":"2026-07-20T19:44:02","modified_gmt":"2026-07-20T19:44:02","slug":"en-regardant-les-3-premieres-lignes-calculez-le-resultat-de-la-quatrieme-equation","status":"publish","type":"post","link":"https:\/\/ideerepas.milaf.ma\/?p=21056","title":{"rendered":"En regardant les 3 premi\u00e8res lignes, calculez le r\u00e9sultat de la quatri\u00e8me \u00e9quation."},"content":{"rendered":"<p>Voici des \u00e9quations contenant des polygones (carr\u00e9s, pentagones, hexagones), des horloges et des bananes.<\/p>\n<p>Solution:<\/p>\n<h2>Solution d\u00e9taill\u00e9e<\/h2>\n<p>Soit x l\u2019ensemble des 3 polygones.<br \/>\nSoit y l\u2019ensemble des 4 bananes.<br \/>\nSoit z la pendule indiquant 3h.<!--nextpage--><\/p>\n<p>On remplace les 3 premi\u00e8res lignes par x, y et z :<\/p>\n<p>x + x + x = 45<br \/>\ny + y + x = 23<br \/>\ny + z + z = 10<\/p>\n<p>3x = 45<br \/>\nx = 45\/3<br \/>\n<strong>x = 15<\/strong><!--nextpage--><\/p>\n<p>L\u2019ensemble des 3 polygones vaut 15. Il est compos\u00e9 d\u2019un carr\u00e9, d\u2019un pentagone et d\u2019un hexagone. Si on additionne le nombre de c\u00f4t\u00e9s, on obtient 15.\u00a0<strong>On peut en d\u00e9duire qu\u2019un c\u00f4t\u00e9 vaut 1.<\/strong>\u00a0Cela nous servira pour la derni\u00e8re ligne.<\/p>\n<p>2y + x = 23<br \/>\n2y + 15 = 23<br \/>\n2y = 23-15<br \/>\n2y = 8<br \/>\n<strong>y = 4<\/strong><\/p>\n<p>L\u2019ensemble des 4 bananes vaut 4.\u00a0<strong>Une seule banane vaut donc 1.<\/strong><\/p>\n<p>y + 2z = 10<br \/>\n4 + 2z = 10<br \/>\n2z = 10-4<br \/>\n2z = 6<br \/>\n<strong>z = 3<\/strong><\/p>\n<p>L\u2019horloge indiquant \u201c3h\u201d vaut 3.\u00a0<strong>Donc chaque heure de la pendule vaut 1.<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Voici des \u00e9quations contenant des polygones (carr\u00e9s, pentagones, hexagones), des horloges et des bananes. Solution: Solution d\u00e9taill\u00e9e Soit x l\u2019ensemble&hellip;<\/p>\n","protected":false},"author":1,"featured_media":21057,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-21056","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/ideerepas.milaf.ma\/index.php?rest_route=\/wp\/v2\/posts\/21056","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ideerepas.milaf.ma\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ideerepas.milaf.ma\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ideerepas.milaf.ma\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/ideerepas.milaf.ma\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=21056"}],"version-history":[{"count":1,"href":"https:\/\/ideerepas.milaf.ma\/index.php?rest_route=\/wp\/v2\/posts\/21056\/revisions"}],"predecessor-version":[{"id":21058,"href":"https:\/\/ideerepas.milaf.ma\/index.php?rest_route=\/wp\/v2\/posts\/21056\/revisions\/21058"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/ideerepas.milaf.ma\/index.php?rest_route=\/wp\/v2\/media\/21057"}],"wp:attachment":[{"href":"https:\/\/ideerepas.milaf.ma\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=21056"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ideerepas.milaf.ma\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=21056"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ideerepas.milaf.ma\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=21056"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}