{"id":232212,"date":"2025-06-11T19:31:10","date_gmt":"2025-06-11T19:31:10","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=232212"},"modified":"2025-06-11T19:31:11","modified_gmt":"2025-06-11T19:31:11","slug":"1-3-of-a-number-decreased-by-13-equals-45","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/11\/1-3-of-a-number-decreased-by-13-equals-45\/","title":{"rendered":"1\/3 of a number decreased by 13 equals 45"},"content":{"rendered":"\n

1\/3 of a number decreased by 13 equals 45<\/p>\n\n\n\n

The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n

Answer:<\/strong>
Let the number be xxx.
According to the problem:13x\u221213=45\\frac{1}{3}x – 13 = 4531\u200bx\u221213=45<\/p>\n\n\n\n

Add 13 to both sides:13x=58\\frac{1}{3}x = 5831\u200bx=58<\/p>\n\n\n\n

Multiply both sides by 3:x=174x = 174x=174<\/p>\n\n\n\n

Final Answer: 174\\boxed{174}174\u200b<\/strong><\/p>\n\n\n\n

\n\n\n\n

Explanation (Approximately 300 words):<\/strong><\/p>\n\n\n\n

To solve the equation \u201c1\/3 of a number decreased by 13 equals 45,\u201d begin by translating the sentence into a mathematical equation. The phrase \u201c1\/3 of a number\u201d indicates one-third of some unknown value, which is represented as 13x\\frac{1}{3}x31\u200bx, where xxx is the unknown number. The term \u201cdecreased by 13\u201d implies a subtraction of 13. Therefore, the expression becomes 13x\u221213\\frac{1}{3}x – 1331\u200bx\u221213. The word \u201cequals\u201d suggests that this expression is set equal to 45. So the complete equation is:13x\u221213=45\\frac{1}{3}x – 13 = 4531\u200bx\u221213=45<\/p>\n\n\n\n

To isolate the variable xxx, follow a step-by-step process. First, eliminate the constant term on the left-hand side by adding 13 to both sides of the equation:13x\u221213+13=45+13\\frac{1}{3}x – 13 + 13 = 45 + 1331\u200bx\u221213+13=45+13<\/p>\n\n\n\n

This simplifies to:13x=58\\frac{1}{3}x = 5831\u200bx=58<\/p>\n\n\n\n

Now, to solve for xxx, multiply both sides of the equation by 3. Multiplying by 3 is necessary because the coefficient of xxx is 13\\frac{1}{3}31\u200b, and multiplying by 3 will cancel the denominator:3\u22c513x=3\u22c5583 \\cdot \\frac{1}{3}x = 3 \\cdot 583\u22c531\u200bx=3\u22c558x=174x = 174x=174<\/p>\n\n\n\n

Therefore, the original number is 174. This solution can be verified by substituting 174 back into the original condition: One-third of 174 is 58, and 58 minus 13 is indeed 45. The equation is satisfied, confirming the correctness of the solution.<\/p>\n\n\n\n

\"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

1\/3 of a number decreased by 13 equals 45 The Correct Answer and Explanation is: Answer:Let the number be xxx.According to the problem:13x\u221213=45\\frac{1}{3}x – 13 = 4531\u200bx\u221213=45 Add 13 to both sides:13x=58\\frac{1}{3}x = 5831\u200bx=58 Multiply both sides by 3:x=174x = 174x=174 Final Answer: 174\\boxed{174}174\u200b Explanation (Approximately 300 words): To solve the equation \u201c1\/3 of a […]<\/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-232212","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/232212","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=232212"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/232212\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=232212"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=232212"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=232212"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}