{"id":934,"date":"2024-03-05T15:08:38","date_gmt":"2024-03-05T15:08:38","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=934"},"modified":"2024-03-05T15:08:38","modified_gmt":"2024-03-05T15:08:38","slug":"the-ratio-of-ages-of-father-and-the-son-at-present-is-5after-12-years-the-ratio-will-become-3what-is-the-sum-of-present-ages-of-the-father-and-the-son","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/the-ratio-of-ages-of-father-and-the-son-at-present-is-5after-12-years-the-ratio-will-become-3what-is-the-sum-of-present-ages-of-the-father-and-the-son\/","title":{"rendered":"The ratio of ages of father and the son at present is 5:After 12 years the ratio will become 3:What is the sum of present ages of the father and the son ?"},"content":{"rendered":"<p>[amp_mcq option1=&#8221;76 yrs&#8221; option2=&#8221;77 yrs&#8221; option3=&#8221;74 yrs&#8221; option4=&#8221;72 yrs   &#8221; correct=&#8221;option4&#8243;]<!--more--><\/p>\n<p>The correct answer is (d) 72 yrs.<\/p>\n<p>Let the present ages of the father and the son be 5x and x years respectively.<br \/>\nAfter 12 years, their ages will be (5x+12) and (x+12) years respectively.<br \/>\nGiven that the ratio of their ages after 12 years will be 3:2.<br \/>\nTherefore,<br \/>\n(5x+12)\/(x+12) = 3\/2<br \/>\n10x+24 = 3x+36<br \/>\n7x = 12<br \/>\nx = 12\/7<br \/>\nTherefore, the sum of their present ages is<br \/>\n5x + x = 6x = 6 * 12\/7 = 72 yrs.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>[amp_mcq option1=&#8221;76 yrs&#8221; option2=&#8221;77 yrs&#8221; option3=&#8221;74 yrs&#8221; option4=&#8221;72 yrs &#8221; correct=&#8221;option4&#8243;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[111],"tags":[],"class_list":["post-934","post","type-post","status-publish","format-standard","hentry","category-age","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>The ratio of ages of father and the son at present is 5:After 12 years the ratio will become 3:What is the sum of present ages of the father and the son ?<\/title>\n<meta name=\"description\" content=\"Let the present ages of the father and the son be 5x and x years respectively.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" 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