{"id":2033,"date":"2024-03-05T15:26:51","date_gmt":"2024-03-05T15:26:51","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=2033"},"modified":"2024-03-05T15:26:51","modified_gmt":"2024-03-05T15:26:51","slug":"the-ratio-of-ages-of-a-man-and-his-son-is-3after-15-years-the-age-ratio-will-be-2what-is-the-age-of-the-man","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/the-ratio-of-ages-of-a-man-and-his-son-is-3after-15-years-the-age-ratio-will-be-2what-is-the-age-of-the-man\/","title":{"rendered":"The ratio of ages of a man and his son is 3:After 15 years, the age ratio will be 2:What is the age of the man?"},"content":{"rendered":"<p>[amp_mcq option1=&#8221;45 years&#8221; option2=&#8221;40 years&#8221; option3=&#8221;35 years&#8221; option4=&#8221;30 years&#8221; correct=&#8221;option1&#8243;]<!--more--><\/p>\n<p>The correct answer is (a).<\/p>\n<p>Let $x$ be the age of the man and $y$ be the age of his son. We are given that the ratio of their ages is 3:1, so $x = 3y$. We are also given that after 15 years, the age ratio will be 2:1, so $(x + 15) = 2(y + 15)$. Substituting $x = 3y$ into this equation, we get $3y + 15 = 2(y + 15)$. Simplifying, we get $y = 15$. Substituting $y = 15$ into $x = 3y$, we get $x = 45$.<\/p>\n<p>Option (b) is incorrect because $40$ is not a multiple of $15$. Option (c) is incorrect because $35$ is not a multiple of $15$. Option (d) is incorrect because $30$ is not a multiple of $15$.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>[amp_mcq option1=&#8221;45 years&#8221; option2=&#8221;40 years&#8221; option3=&#8221;35 years&#8221; option4=&#8221;30 years&#8221; correct=&#8221;option1&#8243;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[111],"tags":[],"class_list":["post-2033","post","type-post","status-publish","format-standard","hentry","category-age","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>The ratio of ages of a man and his son is 3:After 15 years, the age ratio will be 2:What is the age of the man?<\/title>\n<meta name=\"description\" content=\"Let $x$ be the age of the man and $y$ be the age of his son. We are given that the ratio of their ages is 3:1, so $x = 3y$. We are also given that after 15 years, the age ratio will be 2:1, so $(x + 15) = 2(y + 15)$. Substituting $x = 3y$ into this equation, we get $3y + 15 = 2(y + 15)$. Simplifying, we get $y = 15$. Substituting $y = 15$ into $x = 3y$, we get $x = 45$.\" \/>\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\/the-ratio-of-ages-of-a-man-and-his-son-is-3after-15-years-the-age-ratio-will-be-2what-is-the-age-of-the-man\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"The ratio of ages of a man and his son is 3:After 15 years, the age ratio will be 2:What is the age of the man?\" \/>\n<meta property=\"og:description\" content=\"Let $x$ be the age of the man and $y$ be the age of his son. We are given that the ratio of their ages is 3:1, so $x = 3y$. We are also given that after 15 years, the age ratio will be 2:1, so $(x + 15) = 2(y + 15)$. Substituting $x = 3y$ into this equation, we get $3y + 15 = 2(y + 15)$. Simplifying, we get $y = 15$. Substituting $y = 15$ into $x = 3y$, we get $x = 45$.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/the-ratio-of-ages-of-a-man-and-his-son-is-3after-15-years-the-age-ratio-will-be-2what-is-the-age-of-the-man\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2024-03-05T15:26:51+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":"The ratio of ages of a man and his son is 3:After 15 years, the age ratio will be 2:What is the age of the man?","description":"Let $x$ be the age of the man and $y$ be the age of his son. We are given that the ratio of their ages is 3:1, so $x = 3y$. We are also given that after 15 years, the age ratio will be 2:1, so $(x + 15) = 2(y + 15)$. Substituting $x = 3y$ into this equation, we get $3y + 15 = 2(y + 15)$. Simplifying, we get $y = 15$. Substituting $y = 15$ into $x = 3y$, we get $x = 45$.","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\/the-ratio-of-ages-of-a-man-and-his-son-is-3after-15-years-the-age-ratio-will-be-2what-is-the-age-of-the-man\/","og_locale":"en_US","og_type":"article","og_title":"The ratio of ages of a man and his son is 3:After 15 years, the age ratio will be 2:What is the age of the man?","og_description":"Let $x$ be the age of the man and $y$ be the age of his son. We are given that the ratio of their ages is 3:1, so $x = 3y$. We are also given that after 15 years, the age ratio will be 2:1, so $(x + 15) = 2(y + 15)$. Substituting $x = 3y$ into this equation, we get $3y + 15 = 2(y + 15)$. Simplifying, we get $y = 15$. Substituting $y = 15$ into $x = 3y$, we get $x = 45$.","og_url":"https:\/\/exam.pscnotes.com\/mcq\/the-ratio-of-ages-of-a-man-and-his-son-is-3after-15-years-the-age-ratio-will-be-2what-is-the-age-of-the-man\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2024-03-05T15:26:51+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\/the-ratio-of-ages-of-a-man-and-his-son-is-3after-15-years-the-age-ratio-will-be-2what-is-the-age-of-the-man\/","url":"https:\/\/exam.pscnotes.com\/mcq\/the-ratio-of-ages-of-a-man-and-his-son-is-3after-15-years-the-age-ratio-will-be-2what-is-the-age-of-the-man\/","name":"The ratio of ages of a man and his son is 3:After 15 years, the age ratio will be 2:What is the age of the man?","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2024-03-05T15:26:51+00:00","dateModified":"2024-03-05T15:26:51+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"Let $x$ be the age of the man and $y$ be the age of his son. We are given that the ratio of their ages is 3:1, so $x = 3y$. We are also given that after 15 years, the age ratio will be 2:1, so $(x + 15) = 2(y + 15)$. Substituting $x = 3y$ into this equation, we get $3y + 15 = 2(y + 15)$. Simplifying, we get $y = 15$. Substituting $y = 15$ into $x = 3y$, we get $x = 45$.","breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/the-ratio-of-ages-of-a-man-and-his-son-is-3after-15-years-the-age-ratio-will-be-2what-is-the-age-of-the-man\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/the-ratio-of-ages-of-a-man-and-his-son-is-3after-15-years-the-age-ratio-will-be-2what-is-the-age-of-the-man\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/the-ratio-of-ages-of-a-man-and-his-son-is-3after-15-years-the-age-ratio-will-be-2what-is-the-age-of-the-man\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/exam.pscnotes.com\/mcq\/"},{"@type":"ListItem","position":2,"name":"mcq","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/mcq\/"},{"@type":"ListItem","position":3,"name":"age","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/mcq\/age\/"},{"@type":"ListItem","position":4,"name":"The ratio of ages of a man and his son is 3:After 15 years, the age ratio will be 2:What is the age of the man?"}]},{"@type":"WebSite","@id":"https:\/\/exam.pscnotes.com\/mcq\/#website","url":"https:\/\/exam.pscnotes.com\/mcq\/","name":"MCQ and Quiz for Exams","description":"","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/exam.pscnotes.com\/mcq\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"Person","@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209","name":"rawan239","image":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/761a7274f9cce048fa5b921221e7934820d74514df93ef195a9d22af0c1c9001?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/761a7274f9cce048fa5b921221e7934820d74514df93ef195a9d22af0c1c9001?s=96&d=mm&r=g","caption":"rawan239"},"sameAs":["https:\/\/exam.pscnotes.com"],"url":"https:\/\/exam.pscnotes.com\/mcq\/author\/rawan239\/"}]}},"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/2033","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/comments?post=2033"}],"version-history":[{"count":0,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/2033\/revisions"}],"wp:attachment":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/media?parent=2033"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/categories?post=2033"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/tags?post=2033"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}