{"id":90712,"date":"2025-06-01T10:35:07","date_gmt":"2025-06-01T10:35:07","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=90712"},"modified":"2025-06-01T10:35:07","modified_gmt":"2025-06-01T10:35:07","slug":"a-number-is-124-more-than-its-one-third-what-is-that-number","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/a-number-is-124-more-than-its-one-third-what-is-that-number\/","title":{"rendered":"A number is 124 more than its one-third. What is that number?"},"content":{"rendered":"<p>A number is 124 more than its one-third. What is that number?<\/p>\n<p>[amp_mcq option1=&#8221;194&#8243; option2=&#8221;180&#8243; option3=&#8221;189&#8243; option4=&#8221;186&#8243; correct=&#8221;option4&#8243;]<\/p>\n<div class=\"psc-box-pyq-exam-year-detail\">\n<div class=\"pyq-exam\">\n<div class=\"psc-heading\">This question was previously asked in<\/div>\n<div class=\"psc-title line-ellipsis\">UPSC CAPF &#8211; 2022<\/div>\n<\/div>\n<div class=\"pyq-exam-psc-buttons\"><a href=\"\/pyq\/pyq-upsc-capf-2022.pdf\" target=\"_blank\" class=\"psc-pdf-button\" rel=\"noopener\">Download PDF<\/a><a href=\"\/pyq-upsc-capf-2022\" target=\"_blank\" class=\"psc-attempt-button\" rel=\"noopener\">Attempt Online<\/a><\/div>\n<\/div>\n<section id=\"pyq-correct-answer\">\nLet the number be $x$.<br \/>\nThe problem states that &#8220;a number is 124 more than its one-third&#8221;.<br \/>\nThis can be written as an equation:<br \/>\n$x = 124 + \\frac{1}{3}x$<\/p>\n<p>To solve for $x$, first move the term with $x$ to one side:<br \/>\n$x &#8211; \\frac{1}{3}x = 124$<\/p>\n<p>Combine the $x$ terms:<br \/>\n$\\left(1 &#8211; \\frac{1}{3}\\right)x = 124$<br \/>\n$\\left(\\frac{3}{3} &#8211; \\frac{1}{3}\\right)x = 124$<br \/>\n$\\frac{2}{3}x = 124$<\/p>\n<p>Multiply both sides by $\\frac{3}{2}$ to isolate $x$:<br \/>\n$x = 124 \\times \\frac{3}{2}$<br \/>\n$x = (124\/2) \\times 3$<br \/>\n$x = 62 \\times 3$<br \/>\n$x = 186$<\/p>\n<p>The number is 186.<br \/>\n<\/section>\n<section id=\"pyq-key-points\">\n&#8211; Translating a word problem into a mathematical equation.<br \/>\n&#8211; Solving a linear equation involving fractions.<br \/>\n<\/section>\n<section id=\"pyq-additional-information\">\nTo verify the answer, check if 186 is 124 more than its one-third:<br \/>\nOne-third of 186 is $186 \/ 3 = 62$.<br \/>\n124 more than 62 is $124 + 62 = 186$.<br \/>\nThe condition is satisfied, so the answer is correct.<br \/>\n<\/section>\n","protected":false},"excerpt":{"rendered":"<p>A number is 124 more than its one-third. What is that number? [amp_mcq option1=&#8221;194&#8243; option2=&#8221;180&#8243; option3=&#8221;189&#8243; option4=&#8221;186&#8243; correct=&#8221;option4&#8243;] This question was previously asked in UPSC CAPF &#8211; 2022 Download PDFAttempt Online Let the number be $x$. The problem states that &#8220;a number is 124 more than its one-third&#8221;. This can be written as an equation: &#8230; <\/p>\n<p class=\"read-more-container\"><a title=\"A number is 124 more than its one-third. What is that number?\" class=\"read-more button\" href=\"https:\/\/exam.pscnotes.com\/mcq\/a-number-is-124-more-than-its-one-third-what-is-that-number\/#more-90712\">Detailed Solution<span class=\"screen-reader-text\">A number is 124 more than its one-third. What is that number?<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1085],"tags":[1108,1102],"class_list":["post-90712","post","type-post","status-publish","format-standard","hentry","category-upsc-capf","tag-1108","tag-quantitative-aptitude-and-reasoning","no-featured-image-padding"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.2 (Yoast SEO v23.3) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>A number is 124 more than its one-third. What is that number?<\/title>\n<meta name=\"description\" content=\"Let the number be $x$. The problem states that &quot;a number is 124 more than its one-third&quot;. This can be written as an equation: $x = 124 + frac{1}{3}x$ To solve for $x$, first move the term with $x$ to one side: $x - frac{1}{3}x = 124$ Combine the $x$ terms: $left(1 - frac{1}{3}right)x = 124$ $left(frac{3}{3} - frac{1}{3}right)x = 124$ $frac{2}{3}x = 124$ Multiply both sides by $frac{3}{2}$ to isolate $x$: $x = 124 times frac{3}{2}$ $x = (124\/2) times 3$ $x = 62 times 3$ $x = 186$ The number is 186. - Translating a word problem into a mathematical equation. - Solving a linear equation involving fractions.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/exam.pscnotes.com\/mcq\/a-number-is-124-more-than-its-one-third-what-is-that-number\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"A number is 124 more than its one-third. What is that number?\" \/>\n<meta property=\"og:description\" content=\"Let the number be $x$. The problem states that &quot;a number is 124 more than its one-third&quot;. This can be written as an equation: $x = 124 + frac{1}{3}x$ To solve for $x$, first move the term with $x$ to one side: $x - frac{1}{3}x = 124$ Combine the $x$ terms: $left(1 - frac{1}{3}right)x = 124$ $left(frac{3}{3} - frac{1}{3}right)x = 124$ $frac{2}{3}x = 124$ Multiply both sides by $frac{3}{2}$ to isolate $x$: $x = 124 times frac{3}{2}$ $x = (124\/2) times 3$ $x = 62 times 3$ $x = 186$ The number is 186. - Translating a word problem into a mathematical equation. - Solving a linear equation involving fractions.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/a-number-is-124-more-than-its-one-third-what-is-that-number\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2025-06-01T10:35:07+00:00\" \/>\n<meta name=\"author\" content=\"rawan239\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"rawan239\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"A number is 124 more than its one-third. What is that number?","description":"Let the number be $x$. The problem states that \"a number is 124 more than its one-third\". This can be written as an equation: $x = 124 + frac{1}{3}x$ To solve for $x$, first move the term with $x$ to one side: $x - frac{1}{3}x = 124$ Combine the $x$ terms: $left(1 - frac{1}{3}right)x = 124$ $left(frac{3}{3} - frac{1}{3}right)x = 124$ $frac{2}{3}x = 124$ Multiply both sides by $frac{3}{2}$ to isolate $x$: $x = 124 times frac{3}{2}$ $x = (124\/2) times 3$ $x = 62 times 3$ $x = 186$ The number is 186. - Translating a word problem into a mathematical equation. - Solving a linear equation involving fractions.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/exam.pscnotes.com\/mcq\/a-number-is-124-more-than-its-one-third-what-is-that-number\/","og_locale":"en_US","og_type":"article","og_title":"A number is 124 more than its one-third. What is that number?","og_description":"Let the number be $x$. The problem states that \"a number is 124 more than its one-third\". This can be written as an equation: $x = 124 + frac{1}{3}x$ To solve for $x$, first move the term with $x$ to one side: $x - frac{1}{3}x = 124$ Combine the $x$ terms: $left(1 - frac{1}{3}right)x = 124$ $left(frac{3}{3} - frac{1}{3}right)x = 124$ $frac{2}{3}x = 124$ Multiply both sides by $frac{3}{2}$ to isolate $x$: $x = 124 times frac{3}{2}$ $x = (124\/2) times 3$ $x = 62 times 3$ $x = 186$ The number is 186. - Translating a word problem into a mathematical equation. - Solving a linear equation involving fractions.","og_url":"https:\/\/exam.pscnotes.com\/mcq\/a-number-is-124-more-than-its-one-third-what-is-that-number\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2025-06-01T10:35:07+00:00","author":"rawan239","twitter_card":"summary_large_image","twitter_misc":{"Written by":"rawan239","Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/exam.pscnotes.com\/mcq\/a-number-is-124-more-than-its-one-third-what-is-that-number\/","url":"https:\/\/exam.pscnotes.com\/mcq\/a-number-is-124-more-than-its-one-third-what-is-that-number\/","name":"A number is 124 more than its one-third. What is that number?","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2025-06-01T10:35:07+00:00","dateModified":"2025-06-01T10:35:07+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"Let the number be $x$. The problem states that \"a number is 124 more than its one-third\". This can be written as an equation: $x = 124 + \\frac{1}{3}x$ To solve for $x$, first move the term with $x$ to one side: $x - \\frac{1}{3}x = 124$ Combine the $x$ terms: $\\left(1 - \\frac{1}{3}\\right)x = 124$ $\\left(\\frac{3}{3} - \\frac{1}{3}\\right)x = 124$ $\\frac{2}{3}x = 124$ Multiply both sides by $\\frac{3}{2}$ to isolate $x$: $x = 124 \\times \\frac{3}{2}$ $x = (124\/2) \\times 3$ $x = 62 \\times 3$ $x = 186$ The number is 186. - Translating a word problem into a mathematical equation. - Solving a linear equation involving fractions.","breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/a-number-is-124-more-than-its-one-third-what-is-that-number\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/a-number-is-124-more-than-its-one-third-what-is-that-number\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/a-number-is-124-more-than-its-one-third-what-is-that-number\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/exam.pscnotes.com\/mcq\/"},{"@type":"ListItem","position":2,"name":"UPSC CAPF","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/upsc-capf\/"},{"@type":"ListItem","position":3,"name":"A number is 124 more than its one-third. 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