{"id":161375,"date":"2024-11-04T18:34:35","date_gmt":"2024-11-04T18:34:35","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=161375"},"modified":"2024-11-04T18:34:37","modified_gmt":"2024-11-04T18:34:37","slug":"what-number-divided-by-3-then-multiplied-equals-24","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/11\/04\/what-number-divided-by-3-then-multiplied-equals-24\/","title":{"rendered":"What number divided by 3 then multiplied equals 24"},"content":{"rendered":"\n<p>What number divided by 3 then multiplied equals 24?<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\"><strong>The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n<p>To find the number that, when divided by 3 and then multiplied, equals 24, let&#8217;s set up an equation.<\/p>\n\n\n\n<p>Let ( x ) be the unknown number.<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>The problem states that dividing ( x ) by 3, then multiplying, results in 24.<\/li>\n\n\n\n<li>So, we can represent this as:<br>[<br>\\frac{x}{3} \\times 3 = 24<br>]<\/li>\n\n\n\n<li>Simplifying this equation, we see that dividing ( x ) by 3 and then multiplying by 3 just returns ( x ):<br>[<br>x = 24<br>]<\/li>\n<\/ol>\n\n\n\n<p>Thus, the answer is:<br>[<br>x = 24<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation<\/h3>\n\n\n\n<p>In this problem, we\u2019re essentially trying to &#8220;undo&#8221; operations to find the original number. Let\u2019s break down the steps:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Setting Up the Equation<\/strong>: Since the problem describes dividing a number by 3 and then multiplying, we translate that into the algebraic form: (\\frac{x}{3} \\times 3).<\/li>\n\n\n\n<li><strong>Understanding the Operations<\/strong>: Dividing a number by 3 and then immediately multiplying by 3 cancels out, leaving the original number. This works because multiplication and division by the same nonzero number are inverse operations.<\/li>\n\n\n\n<li><strong>Solving the Equation<\/strong>: When (\\frac{x}{3} \\times 3 = 24), it simplifies directly to (x = 24). In other words, no matter the intermediate steps, if we end with 24, that means our original number, ( x ), must have been 24.<\/li>\n\n\n\n<li><strong>Verification<\/strong>: To confirm, substitute 24 back into the problem&#8217;s steps. Dividing 24 by 3 gives 8, and multiplying 8 by 3 returns 24, which matches the expected outcome.<\/li>\n<\/ol>\n\n\n\n<p>In summary, the number we\u2019re looking for is 24, as it satisfies the condition laid out in the problem.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>What number divided by 3 then multiplied equals 24? The Correct Answer and Explanation is : To find the number that, when divided by 3 and then multiplied, equals 24, let&#8217;s set up an equation. Let ( x ) be the unknown number. Thus, the answer is:[x = 24] Explanation In this problem, we\u2019re essentially [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-161375","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/161375","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=161375"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/161375\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=161375"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=161375"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=161375"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}