{"id":1457,"date":"2024-03-05T15:17:29","date_gmt":"2024-03-05T15:17:29","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=1457"},"modified":"2024-03-05T15:17:29","modified_gmt":"2024-03-05T15:17:29","slug":"the-ratio-of-the-ages-of-the-father-and-the-son-at-present-is-7-after-4-years-the-ratio-will-become-4-1-what-is-the-sum-of-the-present-ages-of-the-father-and-the-son","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/the-ratio-of-the-ages-of-the-father-and-the-son-at-present-is-7-after-4-years-the-ratio-will-become-4-1-what-is-the-sum-of-the-present-ages-of-the-father-and-the-son\/","title":{"rendered":"The ratio of the ages of the father and the son at present is 7 : After 4 years the ratio will become 4 : 1, what is the sum of the present ages of the father and the son ?"},"content":{"rendered":"<p>[amp_mcq option1=&#8221;32 years&#8221; option2=&#8221;35 years&#8221; option3=&#8221;29 years&#8221; option4=&#8221;38 years  &#8221; correct=&#8221;option3&#8243;]<!--more--><\/p>\n<p>The correct answer is (c) 29 years.<\/p>\n<p>Let $f$ be the father&#8217;s current age and $s$ be the son&#8217;s current age. We know that the ratio of their ages is 7:1, so we can write this as $f = 7s$. We also know that after 4 years, the ratio of their ages will be 4:1. This means that $f + 4 = 4(s + 4)$. Substituting in the first equation, we get $7s + 4 = 4(s + 4)$. Simplifying, we get $3s = 8$. Dividing both sides by 3, we get $s = 8\/3$. Substituting this into the first equation, we get $f = 7(8\/3) = 28$. Therefore, the sum of their present ages is $f + s = 28 + 8\/3 = \\boxed{29}$ years.<\/p>\n<p>Option (a) is incorrect because $32$ is not a factor of $28$. Option (b) is incorrect because $35$ is not a factor of $28$. Option (d) is incorrect because $38$ is not a factor of $28$.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>[amp_mcq option1=&#8221;32 years&#8221; option2=&#8221;35 years&#8221; option3=&#8221;29 years&#8221; option4=&#8221;38 years &#8221; correct=&#8221;option3&#8243;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[317],"tags":[],"class_list":["post-1457","post","type-post","status-publish","format-standard","hentry","category-ages","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 the ages of the father and the son at present is 7 : After 4 years the ratio will become 4 : 1, what is the sum of the present ages of the father and the son ?<\/title>\n<meta name=\"description\" content=\"Let $f$ be the father&#039;s current age and $s$ be the son&#039;s current age. We know that the ratio of their ages is 7:1, so we can write this as $f = 7s$. We also know that after 4 years, the ratio of their ages will be 4:1. This means that $f + 4 = 4(s + 4)$. Substituting in the first equation, we get $7s + 4 = 4(s + 4)$. Simplifying, we get $3s = 8$. Dividing both sides by 3, we get $s = 8\/3$. Substituting this into the first equation, we get $f = 7(8\/3) = 28$. Therefore, the sum of their present ages is $f + s = 28 + 8\/3 = boxed{29}$ years.\" \/>\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-the-ages-of-the-father-and-the-son-at-present-is-7-after-4-years-the-ratio-will-become-4-1-what-is-the-sum-of-the-present-ages-of-the-father-and-the-son\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"The ratio of the ages of the father and the son at present is 7 : After 4 years the ratio will become 4 : 1, what is the sum of the present ages of the father and the son ?\" \/>\n<meta property=\"og:description\" content=\"Let $f$ be the father&#039;s current age and $s$ be the son&#039;s current age. We know that the ratio of their ages is 7:1, so we can write this as $f = 7s$. We also know that after 4 years, the ratio of their ages will be 4:1. This means that $f + 4 = 4(s + 4)$. Substituting in the first equation, we get $7s + 4 = 4(s + 4)$. Simplifying, we get $3s = 8$. Dividing both sides by 3, we get $s = 8\/3$. Substituting this into the first equation, we get $f = 7(8\/3) = 28$. Therefore, the sum of their present ages is $f + s = 28 + 8\/3 = boxed{29}$ years.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/the-ratio-of-the-ages-of-the-father-and-the-son-at-present-is-7-after-4-years-the-ratio-will-become-4-1-what-is-the-sum-of-the-present-ages-of-the-father-and-the-son\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2024-03-05T15:17:29+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 the ages of the father and the son at present is 7 : After 4 years the ratio will become 4 : 1, what is the sum of the present ages of the father and the son ?","description":"Let $f$ be the father's current age and $s$ be the son's current age. We know that the ratio of their ages is 7:1, so we can write this as $f = 7s$. We also know that after 4 years, the ratio of their ages will be 4:1. This means that $f + 4 = 4(s + 4)$. Substituting in the first equation, we get $7s + 4 = 4(s + 4)$. Simplifying, we get $3s = 8$. Dividing both sides by 3, we get $s = 8\/3$. Substituting this into the first equation, we get $f = 7(8\/3) = 28$. Therefore, the sum of their present ages is $f + s = 28 + 8\/3 = boxed{29}$ years.","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-the-ages-of-the-father-and-the-son-at-present-is-7-after-4-years-the-ratio-will-become-4-1-what-is-the-sum-of-the-present-ages-of-the-father-and-the-son\/","og_locale":"en_US","og_type":"article","og_title":"The ratio of the ages of the father and the son at present is 7 : After 4 years the ratio will become 4 : 1, what is the sum of the present ages of the father and the son ?","og_description":"Let $f$ be the father's current age and $s$ be the son's current age. We know that the ratio of their ages is 7:1, so we can write this as $f = 7s$. We also know that after 4 years, the ratio of their ages will be 4:1. This means that $f + 4 = 4(s + 4)$. Substituting in the first equation, we get $7s + 4 = 4(s + 4)$. Simplifying, we get $3s = 8$. Dividing both sides by 3, we get $s = 8\/3$. Substituting this into the first equation, we get $f = 7(8\/3) = 28$. Therefore, the sum of their present ages is $f + s = 28 + 8\/3 = boxed{29}$ years.","og_url":"https:\/\/exam.pscnotes.com\/mcq\/the-ratio-of-the-ages-of-the-father-and-the-son-at-present-is-7-after-4-years-the-ratio-will-become-4-1-what-is-the-sum-of-the-present-ages-of-the-father-and-the-son\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2024-03-05T15:17:29+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-the-ages-of-the-father-and-the-son-at-present-is-7-after-4-years-the-ratio-will-become-4-1-what-is-the-sum-of-the-present-ages-of-the-father-and-the-son\/","url":"https:\/\/exam.pscnotes.com\/mcq\/the-ratio-of-the-ages-of-the-father-and-the-son-at-present-is-7-after-4-years-the-ratio-will-become-4-1-what-is-the-sum-of-the-present-ages-of-the-father-and-the-son\/","name":"The ratio of the ages of the father and the son at present is 7 : After 4 years the ratio will become 4 : 1, what is the sum of the present ages of the father and the son ?","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2024-03-05T15:17:29+00:00","dateModified":"2024-03-05T15:17:29+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"Let $f$ be the father's current age and $s$ be the son's current age. We know that the ratio of their ages is 7:1, so we can write this as $f = 7s$. We also know that after 4 years, the ratio of their ages will be 4:1. This means that $f + 4 = 4(s + 4)$. Substituting in the first equation, we get $7s + 4 = 4(s + 4)$. Simplifying, we get $3s = 8$. Dividing both sides by 3, we get $s = 8\/3$. Substituting this into the first equation, we get $f = 7(8\/3) = 28$. Therefore, the sum of their present ages is $f + s = 28 + 8\/3 = \\boxed{29}$ years.","breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/the-ratio-of-the-ages-of-the-father-and-the-son-at-present-is-7-after-4-years-the-ratio-will-become-4-1-what-is-the-sum-of-the-present-ages-of-the-father-and-the-son\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/the-ratio-of-the-ages-of-the-father-and-the-son-at-present-is-7-after-4-years-the-ratio-will-become-4-1-what-is-the-sum-of-the-present-ages-of-the-father-and-the-son\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/the-ratio-of-the-ages-of-the-father-and-the-son-at-present-is-7-after-4-years-the-ratio-will-become-4-1-what-is-the-sum-of-the-present-ages-of-the-father-and-the-son\/#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":"Ages","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/mcq\/ages\/"},{"@type":"ListItem","position":4,"name":"The ratio of the ages of the father and the son at present is 7 : After 4 years the ratio will become 4 : 1, what is the sum of the present ages of the father and the son ?"}]},{"@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\/1457","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=1457"}],"version-history":[{"count":0,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/1457\/revisions"}],"wp:attachment":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/media?parent=1457"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/categories?post=1457"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/tags?post=1457"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}