{"id":1303,"date":"2024-03-05T15:15:14","date_gmt":"2024-03-05T15:15:14","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=1303"},"modified":"2024-03-05T15:15:14","modified_gmt":"2024-03-05T15:15:14","slug":"1-a-mother-is-three-times-the-age-of-her-son-five-5-years-back-the-son-was-l-6h-the-age-of-his-father-if-father-is-5-years-older-than-the-mother-what-is-the-age-of-the-son","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/1-a-mother-is-three-times-the-age-of-her-son-five-5-years-back-the-son-was-l-6h-the-age-of-his-father-if-father-is-5-years-older-than-the-mother-what-is-the-age-of-the-son\/","title":{"rendered":"1.A mother is three times the age of her son. Five (5) years back the son was l\/6&#8217;h the age of his father. If father is 5 years older than the mother, what is the age of the son."},"content":{"rendered":"<p>[amp_mcq option1=&#8221;10 yrs&#8221; option2=&#8221;12yrs&#8221; option3=&#8221;14yrs&#8221; option4=&#8221;15yrs&#8221; correct=&#8221;option2&#8243;]<!--more--><\/p>\n<p>The correct answer is (b) 12yrs.<\/p>\n<p>Let $s$ be the son&#8217;s current age, $m$ be the mother&#8217;s current age, and $f$ be the father&#8217;s current age. We are given that $m = 3s$ and $f = m + 5 = 3s + 5$. We are also given that $s &#8211; 5 = \\frac{1}{6}(f &#8211; 5)$. Substituting $f = 3s + 5$ into this equation, we get $s &#8211; 5 = \\frac{1}{6}(3s + 5 &#8211; 5)$, which simplifies to $6s &#8211; 30 = 3s$. Solving for $s$, we get $s = 12$.<\/p>\n<p>Here is a brief explanation of each option:<\/p>\n<ul>\n<li>Option (a): $10$ years. This is not possible, because $10$ is not a multiple of $3$.<\/li>\n<li>Option (b): $12$ years. This is the correct answer, as shown above.<\/li>\n<li>Option (c): $14$ years. This is not possible, because $14$ is not a multiple of $6$.<\/li>\n<li>Option (d): $15$ years. This is not possible, because $15$ is not a multiple of $3$.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>[amp_mcq option1=&#8221;10 yrs&#8221; option2=&#8221;12yrs&#8221; option3=&#8221;14yrs&#8221; option4=&#8221;15yrs&#8221; correct=&#8221;option2&#8243;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[33],"tags":[],"class_list":["post-1303","post","type-post","status-publish","format-standard","hentry","category-algebra","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>1.A mother is three times the age of her son. Five (5) years back the son was l\/6&#039;h the age of his father. If father is 5 years older than the mother, what is the age of the son.<\/title>\n<meta name=\"description\" content=\"Let $s$ be the son&#039;s current age, $m$ be the mother&#039;s current age, and $f$ be the father&#039;s current age. We are given that $m = 3s$ and $f = m + 5 = 3s + 5$. We are also given that $s - 5 = frac{1}{6}(f - 5)$. Substituting $f = 3s + 5$ into this equation, we get $s - 5 = frac{1}{6}(3s + 5 - 5)$, which simplifies to $6s - 30 = 3s$. Solving for $s$, we get $s = 12$.\" \/>\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\/1-a-mother-is-three-times-the-age-of-her-son-five-5-years-back-the-son-was-l-6h-the-age-of-his-father-if-father-is-5-years-older-than-the-mother-what-is-the-age-of-the-son\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"1.A mother is three times the age of her son. Five (5) years back the son was l\/6&#039;h the age of his father. If father is 5 years older than the mother, what is the age of the son.\" \/>\n<meta property=\"og:description\" content=\"Let $s$ be the son&#039;s current age, $m$ be the mother&#039;s current age, and $f$ be the father&#039;s current age. We are given that $m = 3s$ and $f = m + 5 = 3s + 5$. We are also given that $s - 5 = frac{1}{6}(f - 5)$. Substituting $f = 3s + 5$ into this equation, we get $s - 5 = frac{1}{6}(3s + 5 - 5)$, which simplifies to $6s - 30 = 3s$. Solving for $s$, we get $s = 12$.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/1-a-mother-is-three-times-the-age-of-her-son-five-5-years-back-the-son-was-l-6h-the-age-of-his-father-if-father-is-5-years-older-than-the-mother-what-is-the-age-of-the-son\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2024-03-05T15:15:14+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":"1.A mother is three times the age of her son. Five (5) years back the son was l\/6'h the age of his father. If father is 5 years older than the mother, what is the age of the son.","description":"Let $s$ be the son's current age, $m$ be the mother's current age, and $f$ be the father's current age. We are given that $m = 3s$ and $f = m + 5 = 3s + 5$. We are also given that $s - 5 = frac{1}{6}(f - 5)$. Substituting $f = 3s + 5$ into this equation, we get $s - 5 = frac{1}{6}(3s + 5 - 5)$, which simplifies to $6s - 30 = 3s$. Solving for $s$, we get $s = 12$.","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\/1-a-mother-is-three-times-the-age-of-her-son-five-5-years-back-the-son-was-l-6h-the-age-of-his-father-if-father-is-5-years-older-than-the-mother-what-is-the-age-of-the-son\/","og_locale":"en_US","og_type":"article","og_title":"1.A mother is three times the age of her son. Five (5) years back the son was l\/6'h the age of his father. If father is 5 years older than the mother, what is the age of the son.","og_description":"Let $s$ be the son's current age, $m$ be the mother's current age, and $f$ be the father's current age. We are given that $m = 3s$ and $f = m + 5 = 3s + 5$. We are also given that $s - 5 = frac{1}{6}(f - 5)$. Substituting $f = 3s + 5$ into this equation, we get $s - 5 = frac{1}{6}(3s + 5 - 5)$, which simplifies to $6s - 30 = 3s$. Solving for $s$, we get $s = 12$.","og_url":"https:\/\/exam.pscnotes.com\/mcq\/1-a-mother-is-three-times-the-age-of-her-son-five-5-years-back-the-son-was-l-6h-the-age-of-his-father-if-father-is-5-years-older-than-the-mother-what-is-the-age-of-the-son\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2024-03-05T15:15:14+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\/1-a-mother-is-three-times-the-age-of-her-son-five-5-years-back-the-son-was-l-6h-the-age-of-his-father-if-father-is-5-years-older-than-the-mother-what-is-the-age-of-the-son\/","url":"https:\/\/exam.pscnotes.com\/mcq\/1-a-mother-is-three-times-the-age-of-her-son-five-5-years-back-the-son-was-l-6h-the-age-of-his-father-if-father-is-5-years-older-than-the-mother-what-is-the-age-of-the-son\/","name":"1.A mother is three times the age of her son. Five (5) years back the son was l\/6'h the age of his father. If father is 5 years older than the mother, what is the age of the son.","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2024-03-05T15:15:14+00:00","dateModified":"2024-03-05T15:15:14+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"Let $s$ be the son's current age, $m$ be the mother's current age, and $f$ be the father's current age. We are given that $m = 3s$ and $f = m + 5 = 3s + 5$. We are also given that $s - 5 = \\frac{1}{6}(f - 5)$. Substituting $f = 3s + 5$ into this equation, we get $s - 5 = \\frac{1}{6}(3s + 5 - 5)$, which simplifies to $6s - 30 = 3s$. Solving for $s$, we get $s = 12$.","breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/1-a-mother-is-three-times-the-age-of-her-son-five-5-years-back-the-son-was-l-6h-the-age-of-his-father-if-father-is-5-years-older-than-the-mother-what-is-the-age-of-the-son\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/1-a-mother-is-three-times-the-age-of-her-son-five-5-years-back-the-son-was-l-6h-the-age-of-his-father-if-father-is-5-years-older-than-the-mother-what-is-the-age-of-the-son\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/1-a-mother-is-three-times-the-age-of-her-son-five-5-years-back-the-son-was-l-6h-the-age-of-his-father-if-father-is-5-years-older-than-the-mother-what-is-the-age-of-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":"Algebra","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/mcq\/algebra\/"},{"@type":"ListItem","position":4,"name":"1.A mother is three times the age of her son. Five (5) years back the son was l\/6&#8217;h the age of his father. If father is 5 years older than the mother, what is the age of 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\/1303","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=1303"}],"version-history":[{"count":0,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/1303\/revisions"}],"wp:attachment":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/media?parent=1303"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/categories?post=1303"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/tags?post=1303"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}