{"id":90260,"date":"2025-06-01T10:24:05","date_gmt":"2025-06-01T10:24:05","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=90260"},"modified":"2025-06-01T10:24:05","modified_gmt":"2025-06-01T10:24:05","slug":"the-ratio-of-ages-of-a-man-and-his-son-is-3-1-after-15-years-the-a","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/the-ratio-of-ages-of-a-man-and-his-son-is-3-1-after-15-years-the-a\/","title":{"rendered":"The ratio of ages of a man and his son is 3 : 1. After 15 years, the a"},"content":{"rendered":"

The ratio of ages of a man and his son is 3 : 1. After 15 years, the age ratio will be 2 : 1. What is the age of the man?<\/p>\n

[amp_mcq option1=”45 years” option2=”40 years” option3=”35 years” option4=”30 years” correct=”option1″]<\/p>\n

\n
\n
This question was previously asked in<\/div>\n
UPSC CAPF – 2018<\/div>\n<\/div>\n
Download PDF<\/a>Attempt Online<\/a><\/div>\n<\/div>\n
Let the current age of the man be M years and the current age of the son be S years. The given ratio of their ages is M : S = 3 : 1, which can be written as M = 3S. After 15 years, the man’s age will be M + 15 and the son’s age will be S + 15. The new ratio of their ages is given as (M + 15) : (S + 15) = 2 : 1. This can be written as the equation (M + 15) \/ (S + 15) = 2. Cross-multiplying gives M + 15 = 2(S + 15), which simplifies to M + 15 = 2S + 30. Now substitute M = 3S into this equation: 3S + 15 = 2S + 30. Subtracting 2S from both sides gives S + 15 = 30. Subtracting 15 from both sides gives S = 15. The son’s current age is 15 years. The man’s current age is M = 3S = 3 * 15 = 45 years. To verify, after 15 years, the man will be 45 + 15 = 60 years old, and the son will be 15 + 15 = 30 years old. The ratio 60:30 simplifies to 2:1, which matches the condition given in the problem.<\/section>\n
Set up algebraic equations based on the given ratios and conditions at different time points. Solve the system of equations to find the unknown ages.<\/section>\n
Age problems often involve setting up linear equations. Care must be taken to add\/subtract the correct number of years from the ages of all involved parties when considering a future or past time point.<\/section>\n","protected":false},"excerpt":{"rendered":"

The ratio of ages of a man and his son is 3 : 1. After 15 years, the age ratio will be 2 : 1. What is the age of the man? [amp_mcq option1=”45 years” option2=”40 years” option3=”35 years” option4=”30 years” correct=”option1″] This question was previously asked in UPSC CAPF – 2018 Download PDFAttempt Online … <\/p>\n

Detailed SolutionThe ratio of ages of a man and his son is 3 : 1. After 15 years, the a<\/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":[1114,1102],"class_list":["post-90260","post","type-post","status-publish","format-standard","hentry","category-upsc-capf","tag-1114","tag-quantitative-aptitude-and-reasoning","no-featured-image-padding"],"yoast_head":"\nThe ratio of ages of a man and his son is 3 : 1. After 15 years, the a<\/title>\n<meta name=\"description\" content=\"Let the current age of the man be M years and the current age of the son be S years. The given ratio of their ages is M : S = 3 : 1, which can be written as M = 3S. After 15 years, the man's age will be M + 15 and the son's age will be S + 15. The new ratio of their ages is given as (M + 15) : (S + 15) = 2 : 1. This can be written as the equation (M + 15) \/ (S + 15) = 2. Cross-multiplying gives M + 15 = 2(S + 15), which simplifies to M + 15 = 2S + 30. Now substitute M = 3S into this equation: 3S + 15 = 2S + 30. Subtracting 2S from both sides gives S + 15 = 30. Subtracting 15 from both sides gives S = 15. The son's current age is 15 years. The man's current age is M = 3S = 3 * 15 = 45 years. To verify, after 15 years, the man will be 45 + 15 = 60 years old, and the son will be 15 + 15 = 30 years old. The ratio 60:30 simplifies to 2:1, which matches the condition given in the problem. Set up algebraic equations based on the given ratios and conditions at different time points. Solve the system of equations to find the unknown ages.\" \/>\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-3-1-after-15-years-the-a\/\" \/>\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 : 1. After 15 years, the a\" \/>\n<meta property=\"og:description\" content=\"Let the current age of the man be M years and the current age of the son be S years. The given ratio of their ages is M : S = 3 : 1, which can be written as M = 3S. After 15 years, the man's age will be M + 15 and the son's age will be S + 15. The new ratio of their ages is given as (M + 15) : (S + 15) = 2 : 1. This can be written as the equation (M + 15) \/ (S + 15) = 2. Cross-multiplying gives M + 15 = 2(S + 15), which simplifies to M + 15 = 2S + 30. Now substitute M = 3S into this equation: 3S + 15 = 2S + 30. Subtracting 2S from both sides gives S + 15 = 30. Subtracting 15 from both sides gives S = 15. The son's current age is 15 years. The man's current age is M = 3S = 3 * 15 = 45 years. To verify, after 15 years, the man will be 45 + 15 = 60 years old, and the son will be 15 + 15 = 30 years old. The ratio 60:30 simplifies to 2:1, which matches the condition given in the problem. Set up algebraic equations based on the given ratios and conditions at different time points. Solve the system of equations to find the unknown ages.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/the-ratio-of-ages-of-a-man-and-his-son-is-3-1-after-15-years-the-a\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2025-06-01T10:24:05+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 : 1. After 15 years, the a","description":"Let the current age of the man be M years and the current age of the son be S years. The given ratio of their ages is M : S = 3 : 1, which can be written as M = 3S. After 15 years, the man's age will be M + 15 and the son's age will be S + 15. The new ratio of their ages is given as (M + 15) : (S + 15) = 2 : 1. This can be written as the equation (M + 15) \/ (S + 15) = 2. Cross-multiplying gives M + 15 = 2(S + 15), which simplifies to M + 15 = 2S + 30. Now substitute M = 3S into this equation: 3S + 15 = 2S + 30. Subtracting 2S from both sides gives S + 15 = 30. Subtracting 15 from both sides gives S = 15. The son's current age is 15 years. The man's current age is M = 3S = 3 * 15 = 45 years. To verify, after 15 years, the man will be 45 + 15 = 60 years old, and the son will be 15 + 15 = 30 years old. The ratio 60:30 simplifies to 2:1, which matches the condition given in the problem. Set up algebraic equations based on the given ratios and conditions at different time points. Solve the system of equations to find the unknown ages.","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-3-1-after-15-years-the-a\/","og_locale":"en_US","og_type":"article","og_title":"The ratio of ages of a man and his son is 3 : 1. After 15 years, the a","og_description":"Let the current age of the man be M years and the current age of the son be S years. The given ratio of their ages is M : S = 3 : 1, which can be written as M = 3S. After 15 years, the man's age will be M + 15 and the son's age will be S + 15. The new ratio of their ages is given as (M + 15) : (S + 15) = 2 : 1. This can be written as the equation (M + 15) \/ (S + 15) = 2. Cross-multiplying gives M + 15 = 2(S + 15), which simplifies to M + 15 = 2S + 30. Now substitute M = 3S into this equation: 3S + 15 = 2S + 30. Subtracting 2S from both sides gives S + 15 = 30. Subtracting 15 from both sides gives S = 15. The son's current age is 15 years. The man's current age is M = 3S = 3 * 15 = 45 years. To verify, after 15 years, the man will be 45 + 15 = 60 years old, and the son will be 15 + 15 = 30 years old. The ratio 60:30 simplifies to 2:1, which matches the condition given in the problem. Set up algebraic equations based on the given ratios and conditions at different time points. Solve the system of equations to find the unknown ages.","og_url":"https:\/\/exam.pscnotes.com\/mcq\/the-ratio-of-ages-of-a-man-and-his-son-is-3-1-after-15-years-the-a\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2025-06-01T10:24:05+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-3-1-after-15-years-the-a\/","url":"https:\/\/exam.pscnotes.com\/mcq\/the-ratio-of-ages-of-a-man-and-his-son-is-3-1-after-15-years-the-a\/","name":"The ratio of ages of a man and his son is 3 : 1. After 15 years, the a","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2025-06-01T10:24:05+00:00","dateModified":"2025-06-01T10:24:05+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"Let the current age of the man be M years and the current age of the son be S years. The given ratio of their ages is M : S = 3 : 1, which can be written as M = 3S. After 15 years, the man's age will be M + 15 and the son's age will be S + 15. The new ratio of their ages is given as (M + 15) : (S + 15) = 2 : 1. This can be written as the equation (M + 15) \/ (S + 15) = 2. Cross-multiplying gives M + 15 = 2(S + 15), which simplifies to M + 15 = 2S + 30. Now substitute M = 3S into this equation: 3S + 15 = 2S + 30. Subtracting 2S from both sides gives S + 15 = 30. Subtracting 15 from both sides gives S = 15. The son's current age is 15 years. The man's current age is M = 3S = 3 * 15 = 45 years. To verify, after 15 years, the man will be 45 + 15 = 60 years old, and the son will be 15 + 15 = 30 years old. The ratio 60:30 simplifies to 2:1, which matches the condition given in the problem. Set up algebraic equations based on the given ratios and conditions at different time points. Solve the system of equations to find the unknown ages.","breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/the-ratio-of-ages-of-a-man-and-his-son-is-3-1-after-15-years-the-a\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/the-ratio-of-ages-of-a-man-and-his-son-is-3-1-after-15-years-the-a\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/the-ratio-of-ages-of-a-man-and-his-son-is-3-1-after-15-years-the-a\/#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":"The ratio of ages of a man and his son is 3 : 1. After 15 years, the a"}]},{"@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\/90260","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=90260"}],"version-history":[{"count":0,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/90260\/revisions"}],"wp:attachment":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/media?parent=90260"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/categories?post=90260"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/tags?post=90260"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}