{"id":89231,"date":"2025-06-01T09:59:27","date_gmt":"2025-06-01T09:59:27","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=89231"},"modified":"2025-06-01T09:59:27","modified_gmt":"2025-06-01T09:59:27","slug":"the-grandfathers-age-is-4-years-more-than-nine-times-the-age-of-the-g","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/the-grandfathers-age-is-4-years-more-than-nine-times-the-age-of-the-g\/","title":{"rendered":"The grandfather’s age is 4 years more than nine times the age of the g"},"content":{"rendered":"

The grandfather’s age is 4 years more than nine times the age of the grandson. The father’s age of 40 years is 2 years less than six times the age of his son. The age of the grandfather is :<\/p>\n

[amp_mcq option1=”77 years” option2=”70 years” option3=”67 years” option4=”63 years” correct=”option3″]<\/p>\n

\n
\n
This question was previously asked in<\/div>\n
UPSC CAPF – 2009<\/div>\n<\/div>\n
Download PDF<\/a>Attempt Online<\/a><\/div>\n<\/div>\n
\nLet G be the grandfather’s age, F be the father’s age, and S be the son’s age. The son in the second statement is the grandson in the first statement. Let GS denote the grandson’s age, so S = GS.<\/p>\n

From the second statement: The father’s age is 40 years.
\nF = 40
\nThe father’s age (40) is 2 years less than six times the age of his son (GS).
\nF = 6 * GS – 2
\n40 = 6 * GS – 2
\n40 + 2 = 6 * GS
\n42 = 6 * GS
\nGS = 42 \/ 6 = 7 years. The grandson’s age is 7 years.<\/p>\n

From the first statement: The grandfather’s age (G) is 4 years more than nine times the age of the grandson (GS).
\nG = 9 * GS + 4
\nG = 9 * 7 + 4
\nG = 63 + 4
\nG = 67 years.<\/p>\n

The age of the grandfather is 67 years.
\n<\/section>\n

\nThis is an age problem involving multiple generations. The key is to identify the relationships between the ages and use the known age (father’s age) to find the age of the common person in the two relations (grandson\/son), and then use that age to find the age of the grandfather.
\n<\/section>\n
\nClearly defining variables for each person’s age and carefully translating the word problem into mathematical equations helps avoid errors. The problem assumes the son mentioned in the father-son relationship is the same person as the grandson mentioned in the grandfather-grandson relationship, which is a standard assumption in such problems unless otherwise specified.
\n<\/section>\n","protected":false},"excerpt":{"rendered":"

The grandfather’s age is 4 years more than nine times the age of the grandson. The father’s age of 40 years is 2 years less than six times the age of his son. The age of the grandfather is : [amp_mcq option1=”77 years” option2=”70 years” option3=”67 years” option4=”63 years” correct=”option3″] This question was previously asked … <\/p>\n

Detailed SolutionThe grandfather’s age is 4 years more than nine times the age of the g<\/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":[1462,1102],"class_list":["post-89231","post","type-post","status-publish","format-standard","hentry","category-upsc-capf","tag-1462","tag-quantitative-aptitude-and-reasoning","no-featured-image-padding"],"yoast_head":"\nThe grandfather's age is 4 years more than nine times the age of the g<\/title>\n<meta name=\"description\" content=\"Let G be the grandfather's age, F be the father's age, and S be the son's age. The son in the second statement is the grandson in the first statement. Let GS denote the grandson's age, so S = GS. From the second statement: The father's age is 40 years. F = 40 The father's age (40) is 2 years less than six times the age of his son (GS). F = 6 * GS - 2 40 = 6 * GS - 2 40 + 2 = 6 * GS 42 = 6 * GS GS = 42 \/ 6 = 7 years. The grandson's age is 7 years. From the first statement: The grandfather's age (G) is 4 years more than nine times the age of the grandson (GS). G = 9 * GS + 4 G = 9 * 7 + 4 G = 63 + 4 G = 67 years. The age of the grandfather is 67 years. This is an age problem involving multiple generations. The key is to identify the relationships between the ages and use the known age (father's age) to find the age of the common person in the two relations (grandson\/son), and then use that age to find the age of the grandfather.\" \/>\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-grandfathers-age-is-4-years-more-than-nine-times-the-age-of-the-g\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"The grandfather's age is 4 years more than nine times the age of the g\" \/>\n<meta property=\"og:description\" content=\"Let G be the grandfather's age, F be the father's age, and S be the son's age. The son in the second statement is the grandson in the first statement. Let GS denote the grandson's age, so S = GS. From the second statement: The father's age is 40 years. F = 40 The father's age (40) is 2 years less than six times the age of his son (GS). F = 6 * GS - 2 40 = 6 * GS - 2 40 + 2 = 6 * GS 42 = 6 * GS GS = 42 \/ 6 = 7 years. The grandson's age is 7 years. From the first statement: The grandfather's age (G) is 4 years more than nine times the age of the grandson (GS). G = 9 * GS + 4 G = 9 * 7 + 4 G = 63 + 4 G = 67 years. The age of the grandfather is 67 years. This is an age problem involving multiple generations. The key is to identify the relationships between the ages and use the known age (father's age) to find the age of the common person in the two relations (grandson\/son), and then use that age to find the age of the grandfather.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/the-grandfathers-age-is-4-years-more-than-nine-times-the-age-of-the-g\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2025-06-01T09:59:27+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 grandfather's age is 4 years more than nine times the age of the g","description":"Let G be the grandfather's age, F be the father's age, and S be the son's age. The son in the second statement is the grandson in the first statement. Let GS denote the grandson's age, so S = GS. From the second statement: The father's age is 40 years. F = 40 The father's age (40) is 2 years less than six times the age of his son (GS). F = 6 * GS - 2 40 = 6 * GS - 2 40 + 2 = 6 * GS 42 = 6 * GS GS = 42 \/ 6 = 7 years. The grandson's age is 7 years. From the first statement: The grandfather's age (G) is 4 years more than nine times the age of the grandson (GS). G = 9 * GS + 4 G = 9 * 7 + 4 G = 63 + 4 G = 67 years. The age of the grandfather is 67 years. This is an age problem involving multiple generations. The key is to identify the relationships between the ages and use the known age (father's age) to find the age of the common person in the two relations (grandson\/son), and then use that age to find the age of the grandfather.","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-grandfathers-age-is-4-years-more-than-nine-times-the-age-of-the-g\/","og_locale":"en_US","og_type":"article","og_title":"The grandfather's age is 4 years more than nine times the age of the g","og_description":"Let G be the grandfather's age, F be the father's age, and S be the son's age. The son in the second statement is the grandson in the first statement. Let GS denote the grandson's age, so S = GS. From the second statement: The father's age is 40 years. F = 40 The father's age (40) is 2 years less than six times the age of his son (GS). F = 6 * GS - 2 40 = 6 * GS - 2 40 + 2 = 6 * GS 42 = 6 * GS GS = 42 \/ 6 = 7 years. The grandson's age is 7 years. From the first statement: The grandfather's age (G) is 4 years more than nine times the age of the grandson (GS). G = 9 * GS + 4 G = 9 * 7 + 4 G = 63 + 4 G = 67 years. The age of the grandfather is 67 years. This is an age problem involving multiple generations. The key is to identify the relationships between the ages and use the known age (father's age) to find the age of the common person in the two relations (grandson\/son), and then use that age to find the age of the grandfather.","og_url":"https:\/\/exam.pscnotes.com\/mcq\/the-grandfathers-age-is-4-years-more-than-nine-times-the-age-of-the-g\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2025-06-01T09:59:27+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-grandfathers-age-is-4-years-more-than-nine-times-the-age-of-the-g\/","url":"https:\/\/exam.pscnotes.com\/mcq\/the-grandfathers-age-is-4-years-more-than-nine-times-the-age-of-the-g\/","name":"The grandfather's age is 4 years more than nine times the age of the g","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2025-06-01T09:59:27+00:00","dateModified":"2025-06-01T09:59:27+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"Let G be the grandfather's age, F be the father's age, and S be the son's age. The son in the second statement is the grandson in the first statement. Let GS denote the grandson's age, so S = GS. From the second statement: The father's age is 40 years. F = 40 The father's age (40) is 2 years less than six times the age of his son (GS). F = 6 * GS - 2 40 = 6 * GS - 2 40 + 2 = 6 * GS 42 = 6 * GS GS = 42 \/ 6 = 7 years. The grandson's age is 7 years. From the first statement: The grandfather's age (G) is 4 years more than nine times the age of the grandson (GS). G = 9 * GS + 4 G = 9 * 7 + 4 G = 63 + 4 G = 67 years. The age of the grandfather is 67 years. This is an age problem involving multiple generations. The key is to identify the relationships between the ages and use the known age (father's age) to find the age of the common person in the two relations (grandson\/son), and then use that age to find the age of the grandfather.","breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/the-grandfathers-age-is-4-years-more-than-nine-times-the-age-of-the-g\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/the-grandfathers-age-is-4-years-more-than-nine-times-the-age-of-the-g\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/the-grandfathers-age-is-4-years-more-than-nine-times-the-age-of-the-g\/#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 grandfather’s age is 4 years more than nine times the age of the g"}]},{"@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\/89231","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=89231"}],"version-history":[{"count":0,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/89231\/revisions"}],"wp:attachment":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/media?parent=89231"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/categories?post=89231"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/tags?post=89231"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}