{"id":30559,"date":"2025-06-21T18:52:35","date_gmt":"2025-06-21T18:52:35","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=30559"},"modified":"2025-06-21T18:52:36","modified_gmt":"2025-06-21T18:52:36","slug":"4-times-the-sum-of-a-number-and-5-equals-24-what-is-the-number","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/4-times-the-sum-of-a-number-and-5-equals-24-what-is-the-number\/","title":{"rendered":"4 times the sum of a number and-5 equals 24 what is the number"},"content":{"rendered":"\n<p>4 times the sum of a number and-5 equals 24 what is the number<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\"><strong>The correct answer and explanation is:<\/strong><\/mark><\/p>\n\n\n\n<p><strong>Correct Answer: 11<\/strong><\/p>\n\n\n\n<p><strong>Explanation:<\/strong><\/p>\n\n\n\n<p>The problem states:<br>&#8220;Four times the sum of a number and negative five equals twenty-four.&#8221;<\/p>\n\n\n\n<p>Let us define the unknown number as <strong>x<\/strong>. The phrase <strong>&#8220;the sum of a number and -5&#8221;<\/strong> translates to the expression <strong>(x + (\u22125))<\/strong> or simply <strong>(x \u2212 5)<\/strong>.<\/p>\n\n\n\n<p>The phrase <strong>&#8220;four times the sum&#8221;<\/strong> means we must multiply the expression <strong>(x \u2212 5)<\/strong> by 4.<br>So the equation becomes:<\/p>\n\n\n\n<p><strong>4(x \u2212 5) = 24<\/strong><\/p>\n\n\n\n<p>Now solve this equation step-by-step:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Distribute the 4<\/strong> to both terms inside the parentheses: 4 \u00d7 x = 4x<br>4 \u00d7 (\u22125) = \u221220 So,<br><strong>4x \u2212 20 = 24<\/strong><\/li>\n\n\n\n<li><strong>Add 20<\/strong> to both sides of the equation to move the constant to the right-hand side: 4x \u2212 20 + 20 = 24 + 20<br><strong>4x = 44<\/strong><\/li>\n\n\n\n<li><strong>Divide both sides by 4<\/strong> to isolate x: 4x \u00f7 4 = 44 \u00f7 4<br><strong>x = 11<\/strong><\/li>\n<\/ol>\n\n\n\n<p>So the number is <strong>11<\/strong>.<\/p>\n\n\n\n<p>To check the solution:<\/p>\n\n\n\n<p>Take the number 11.<br>Add \u22125 to it: 11 \u2212 5 = 6<br>Multiply the result by 4: 6 \u00d7 4 = 24<\/p>\n\n\n\n<p>The original condition is satisfied, so the answer is correct.<\/p>\n\n\n\n<p>This type of equation represents a one-step algebraic equation involving distributive property and inverse operations. It is a basic skill in algebra to isolate variables and reverse operations using addition, subtraction, multiplication, and division. These techniques help solve for unknowns and are useful in both academic mathematics and practical problem solving in real life, such as budgeting, measuring, or adjusting quantities. Understanding how to build and solve such equations develops logical reasoning and confidence in handling more complex problems in algebra.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>4 times the sum of a number and-5 equals 24 what is the number The correct answer and explanation is: Correct Answer: 11 Explanation: The problem states:&#8220;Four times the sum of a number and negative five equals twenty-four.&#8221; Let us define the unknown number as x. The phrase &#8220;the sum of a number and -5&#8221; [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-30559","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/30559","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=30559"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/30559\/revisions"}],"predecessor-version":[{"id":30560,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/30559\/revisions\/30560"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=30559"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=30559"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=30559"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}