{"id":93123,"date":"2025-06-01T11:42:19","date_gmt":"2025-06-01T11:42:19","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=93123"},"modified":"2025-06-01T11:42:19","modified_gmt":"2025-06-01T11:42:19","slug":"b-is-28-years-older-than-a-after-12-years-from-now-the-age-of-b","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/b-is-28-years-older-than-a-after-12-years-from-now-the-age-of-b\/","title":{"rendered":"&#8216;B&#8217; is 28 years older than &#8216;A&#8217;. After 12 years from now, the age of &#8216;B"},"content":{"rendered":"<p>&#8216;B&#8217; is 28 years older than &#8216;A&#8217;. After 12 years from now, the age of &#8216;B&#8217; will be twice the age of &#8216;A&#8217;. The present age of &#8216;A&#8217; is :<\/p>\n<p>[amp_mcq option1=&#8221;10 years&#8221; option2=&#8221;12 years&#8221; option3=&#8221;30 years&#8221; option4=&#8221;16 years&#8221; 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 CISF-AC-EXE &#8211; 2022<\/div>\n<\/div>\n<div class=\"pyq-exam-psc-buttons\"><a href=\"\/pyq\/pyq-upsc-cisf-ac-exe-2022.pdf\" target=\"_blank\" class=\"psc-pdf-button\" rel=\"noopener\">Download PDF<\/a><a href=\"\/pyq-upsc-cisf-ac-exe-2022\" target=\"_blank\" class=\"psc-attempt-button\" rel=\"noopener\">Attempt Online<\/a><\/div>\n<\/div>\n<section id=\"pyq-correct-answer\">\nLet the present age of A be A years.<br \/>\nLet the present age of B be B years.<br \/>\nAccording to the first statement, &#8216;B&#8217; is 28 years older than &#8216;A&#8217;:<br \/>\nB = A + 28  (Equation 1)<\/p>\n<p>After 12 years from now:<br \/>\nAge of A will be A + 12 years.<br \/>\nAge of B will be B + 12 years.<\/p>\n<p>According to the second statement, the age of &#8216;B&#8217; will be twice the age of &#8216;A&#8217; after 12 years:<br \/>\nB + 12 = 2 * (A + 12)  (Equation 2)<\/p>\n<p>Now, we substitute Equation 1 into Equation 2:<br \/>\n(A + 28) + 12 = 2 * (A + 12)<br \/>\nA + 40 = 2A + 24<\/p>\n<p>Now, we solve for A:<br \/>\n40 &#8211; 24 = 2A &#8211; A<br \/>\n16 = A<\/p>\n<p>So, the present age of A is 16 years.<br \/>\nLet&#8217;s verify:<br \/>\nIf A = 16, then B = 16 + 28 = 44.<br \/>\nAfter 12 years, A&#8217;s age = 16 + 12 = 28.<br \/>\nAfter 12 years, B&#8217;s age = 44 + 12 = 56.<br \/>\nIs B&#8217;s age (56) twice A&#8217;s age (28)? Yes, 56 = 2 * 28. The condition is satisfied.<br \/>\n<\/section>\n<section id=\"pyq-key-points\">\n&#8211; Represent the unknown ages with variables.<br \/>\n&#8211; Translate the given information into algebraic equations.<br \/>\n&#8211; Solve the system of equations to find the unknown age.<br \/>\n<\/section>\n<section id=\"pyq-additional-information\">\nThis is a typical age-based problem that can be solved using simultaneous linear equations. Setting up the equations correctly based on the time references (present, after 12 years) is crucial.<br \/>\n<\/section>\n","protected":false},"excerpt":{"rendered":"<p>&#8216;B&#8217; is 28 years older than &#8216;A&#8217;. After 12 years from now, the age of &#8216;B&#8217; will be twice the age of &#8216;A&#8217;. The present age of &#8216;A&#8217; is : [amp_mcq option1=&#8221;10 years&#8221; option2=&#8221;12 years&#8221; option3=&#8221;30 years&#8221; option4=&#8221;16 years&#8221; correct=&#8221;option4&#8243;] This question was previously asked in UPSC CISF-AC-EXE &#8211; 2022 Download PDFAttempt Online Let the &#8230; <\/p>\n<p class=\"read-more-container\"><a title=\"&#8216;B&#8217; is 28 years older than &#8216;A&#8217;. After 12 years from now, the age of &#8216;B\" class=\"read-more button\" href=\"https:\/\/exam.pscnotes.com\/mcq\/b-is-28-years-older-than-a-after-12-years-from-now-the-age-of-b\/#more-93123\">Detailed Solution<span class=\"screen-reader-text\">&#8216;B&#8217; is 28 years older than &#8216;A&#8217;. After 12 years from now, the age of &#8216;B<\/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":[1089],"tags":[1108,1102],"class_list":["post-93123","post","type-post","status-publish","format-standard","hentry","category-upsc-cisf-ac-exe","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>&#039;B&#039; is 28 years older than &#039;A&#039;. After 12 years from now, the age of &#039;B<\/title>\n<meta name=\"description\" content=\"Let the present age of A be A years. Let the present age of B be B years. According to the first statement, &#039;B&#039; is 28 years older than &#039;A&#039;: B = A + 28 (Equation 1) After 12 years from now: Age of A will be A + 12 years. Age of B will be B + 12 years. According to the second statement, the age of &#039;B&#039; will be twice the age of &#039;A&#039; after 12 years: B + 12 = 2 * (A + 12) (Equation 2) Now, we substitute Equation 1 into Equation 2: (A + 28) + 12 = 2 * (A + 12) A + 40 = 2A + 24 Now, we solve for A: 40 - 24 = 2A - A 16 = A So, the present age of A is 16 years. Let&#039;s verify: If A = 16, then B = 16 + 28 = 44. After 12 years, A&#039;s age = 16 + 12 = 28. After 12 years, B&#039;s age = 44 + 12 = 56. Is B&#039;s age (56) twice A&#039;s age (28)? Yes, 56 = 2 * 28. The condition is satisfied. - Represent the unknown ages with variables. - Translate the given information into algebraic equations. - Solve the system of equations to find the unknown age.\" \/>\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\/b-is-28-years-older-than-a-after-12-years-from-now-the-age-of-b\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"&#039;B&#039; is 28 years older than &#039;A&#039;. After 12 years from now, the age of &#039;B\" \/>\n<meta property=\"og:description\" content=\"Let the present age of A be A years. Let the present age of B be B years. According to the first statement, &#039;B&#039; is 28 years older than &#039;A&#039;: B = A + 28 (Equation 1) After 12 years from now: Age of A will be A + 12 years. Age of B will be B + 12 years. According to the second statement, the age of &#039;B&#039; will be twice the age of &#039;A&#039; after 12 years: B + 12 = 2 * (A + 12) (Equation 2) Now, we substitute Equation 1 into Equation 2: (A + 28) + 12 = 2 * (A + 12) A + 40 = 2A + 24 Now, we solve for A: 40 - 24 = 2A - A 16 = A So, the present age of A is 16 years. Let&#039;s verify: If A = 16, then B = 16 + 28 = 44. After 12 years, A&#039;s age = 16 + 12 = 28. After 12 years, B&#039;s age = 44 + 12 = 56. Is B&#039;s age (56) twice A&#039;s age (28)? Yes, 56 = 2 * 28. The condition is satisfied. - Represent the unknown ages with variables. - Translate the given information into algebraic equations. - Solve the system of equations to find the unknown age.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/b-is-28-years-older-than-a-after-12-years-from-now-the-age-of-b\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2025-06-01T11:42:19+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":"'B' is 28 years older than 'A'. After 12 years from now, the age of 'B","description":"Let the present age of A be A years. Let the present age of B be B years. According to the first statement, 'B' is 28 years older than 'A': B = A + 28 (Equation 1) After 12 years from now: Age of A will be A + 12 years. Age of B will be B + 12 years. According to the second statement, the age of 'B' will be twice the age of 'A' after 12 years: B + 12 = 2 * (A + 12) (Equation 2) Now, we substitute Equation 1 into Equation 2: (A + 28) + 12 = 2 * (A + 12) A + 40 = 2A + 24 Now, we solve for A: 40 - 24 = 2A - A 16 = A So, the present age of A is 16 years. Let's verify: If A = 16, then B = 16 + 28 = 44. After 12 years, A's age = 16 + 12 = 28. After 12 years, B's age = 44 + 12 = 56. Is B's age (56) twice A's age (28)? Yes, 56 = 2 * 28. The condition is satisfied. - Represent the unknown ages with variables. - Translate the given information into algebraic equations. - Solve the system of equations to find the unknown age.","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\/b-is-28-years-older-than-a-after-12-years-from-now-the-age-of-b\/","og_locale":"en_US","og_type":"article","og_title":"'B' is 28 years older than 'A'. After 12 years from now, the age of 'B","og_description":"Let the present age of A be A years. Let the present age of B be B years. According to the first statement, 'B' is 28 years older than 'A': B = A + 28 (Equation 1) After 12 years from now: Age of A will be A + 12 years. Age of B will be B + 12 years. According to the second statement, the age of 'B' will be twice the age of 'A' after 12 years: B + 12 = 2 * (A + 12) (Equation 2) Now, we substitute Equation 1 into Equation 2: (A + 28) + 12 = 2 * (A + 12) A + 40 = 2A + 24 Now, we solve for A: 40 - 24 = 2A - A 16 = A So, the present age of A is 16 years. Let's verify: If A = 16, then B = 16 + 28 = 44. After 12 years, A's age = 16 + 12 = 28. After 12 years, B's age = 44 + 12 = 56. Is B's age (56) twice A's age (28)? Yes, 56 = 2 * 28. The condition is satisfied. - Represent the unknown ages with variables. - Translate the given information into algebraic equations. - Solve the system of equations to find the unknown age.","og_url":"https:\/\/exam.pscnotes.com\/mcq\/b-is-28-years-older-than-a-after-12-years-from-now-the-age-of-b\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2025-06-01T11:42:19+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\/b-is-28-years-older-than-a-after-12-years-from-now-the-age-of-b\/","url":"https:\/\/exam.pscnotes.com\/mcq\/b-is-28-years-older-than-a-after-12-years-from-now-the-age-of-b\/","name":"'B' is 28 years older than 'A'. After 12 years from now, the age of 'B","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2025-06-01T11:42:19+00:00","dateModified":"2025-06-01T11:42:19+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"Let the present age of A be A years. Let the present age of B be B years. According to the first statement, 'B' is 28 years older than 'A': B = A + 28 (Equation 1) After 12 years from now: Age of A will be A + 12 years. Age of B will be B + 12 years. According to the second statement, the age of 'B' will be twice the age of 'A' after 12 years: B + 12 = 2 * (A + 12) (Equation 2) Now, we substitute Equation 1 into Equation 2: (A + 28) + 12 = 2 * (A + 12) A + 40 = 2A + 24 Now, we solve for A: 40 - 24 = 2A - A 16 = A So, the present age of A is 16 years. Let's verify: If A = 16, then B = 16 + 28 = 44. After 12 years, A's age = 16 + 12 = 28. After 12 years, B's age = 44 + 12 = 56. Is B's age (56) twice A's age (28)? Yes, 56 = 2 * 28. The condition is satisfied. - Represent the unknown ages with variables. - Translate the given information into algebraic equations. - Solve the system of equations to find the unknown age.","breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/b-is-28-years-older-than-a-after-12-years-from-now-the-age-of-b\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/b-is-28-years-older-than-a-after-12-years-from-now-the-age-of-b\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/b-is-28-years-older-than-a-after-12-years-from-now-the-age-of-b\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/exam.pscnotes.com\/mcq\/"},{"@type":"ListItem","position":2,"name":"UPSC CISF-AC-EXE","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/upsc-cisf-ac-exe\/"},{"@type":"ListItem","position":3,"name":"&#8216;B&#8217; is 28 years older than &#8216;A&#8217;. After 12 years from now, the age of &#8216;B"}]},{"@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\/93123","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=93123"}],"version-history":[{"count":0,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/93123\/revisions"}],"wp:attachment":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/media?parent=93123"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/categories?post=93123"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/tags?post=93123"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}