{"id":577,"date":"2024-03-05T15:01:26","date_gmt":"2024-03-05T15:01:26","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=577"},"modified":"2024-03-05T15:01:26","modified_gmt":"2024-03-05T15:01:26","slug":"a-father-is-now-three-times-as-old-as-his-son-five-years-back-he-was-four-times-as-old-as-his-son-the-age-of-the-son-is","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/a-father-is-now-three-times-as-old-as-his-son-five-years-back-he-was-four-times-as-old-as-his-son-the-age-of-the-son-is\/","title":{"rendered":"A father is now three times as old as his son. Five years back he was four times as old as his son. The age of the son is"},"content":{"rendered":"

[amp_mcq option1=”12 years” option2=”15 years” option3=”18 years” option4=”20 years” correct=”option2″]<\/p>\n

The correct answer is (b), 15 years.<\/p>\n

Let $f$ be the father’s current age and $s$ be the son’s current age. We are given that $f = 3s$ and $f – 5 = 4(s – 5)$. Substituting the first equation into the second equation, we get $3s – 5 = 4s – 20$. Solving for $s$, we get $s = 15$.<\/p>\n

Option (a), 12 years, is incorrect because $12 \\times 3 = 36$, which is not the father’s current age. Option (c), 18 years, is incorrect because $18 \\times 3 = 54$, which is not the father’s current age. Option (d), 20 years, is incorrect because $20 \\times 3 = 60$, which is not the father’s current age.<\/p>\n","protected":false},"excerpt":{"rendered":"

[amp_mcq option1=”12 years” option2=”15 years” option3=”18 years” option4=”20 years” correct=”option2″]<\/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-577","post","type-post","status-publish","format-standard","hentry","category-algebra","no-featured-image-padding"],"yoast_head":"\nA father is now three times as old as his son. Five years back he was four times as old as his son. The age of the son is<\/title>\n<meta name=\"description\" content=\"Let $f$ be the father's current age and $s$ be the son's current age. We are given that $f = 3s$ and $f - 5 = 4(s - 5)$. Substituting the first equation into the second equation, we get $3s - 5 = 4s - 20$. Solving for $s$, we get $s = 15$.\" \/>\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\/a-father-is-now-three-times-as-old-as-his-son-five-years-back-he-was-four-times-as-old-as-his-son-the-age-of-the-son-is\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"A father is now three times as old as his son. Five years back he was four times as old as his son. The age of the son is\" \/>\n<meta property=\"og:description\" content=\"Let $f$ be the father's current age and $s$ be the son's current age. We are given that $f = 3s$ and $f - 5 = 4(s - 5)$. Substituting the first equation into the second equation, we get $3s - 5 = 4s - 20$. Solving for $s$, we get $s = 15$.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/a-father-is-now-three-times-as-old-as-his-son-five-years-back-he-was-four-times-as-old-as-his-son-the-age-of-the-son-is\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2024-03-05T15:01:26+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":"A father is now three times as old as his son. Five years back he was four times as old as his son. The age of the son is","description":"Let $f$ be the father's current age and $s$ be the son's current age. We are given that $f = 3s$ and $f - 5 = 4(s - 5)$. Substituting the first equation into the second equation, we get $3s - 5 = 4s - 20$. Solving for $s$, we get $s = 15$.","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\/a-father-is-now-three-times-as-old-as-his-son-five-years-back-he-was-four-times-as-old-as-his-son-the-age-of-the-son-is\/","og_locale":"en_US","og_type":"article","og_title":"A father is now three times as old as his son. Five years back he was four times as old as his son. The age of the son is","og_description":"Let $f$ be the father's current age and $s$ be the son's current age. We are given that $f = 3s$ and $f - 5 = 4(s - 5)$. 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