{"id":4428,"date":"2024-03-05T16:06:09","date_gmt":"2024-03-05T16:06:09","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=4428"},"modified":"2024-03-05T16:06:09","modified_gmt":"2024-03-05T16:06:09","slug":"if-the-sum-of-two-numbers-is-100-and-their-difference-is-50-the-ratio-of-the-two-numbers-will-be","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/if-the-sum-of-two-numbers-is-100-and-their-difference-is-50-the-ratio-of-the-two-numbers-will-be\/","title":{"rendered":"If the sum of two numbers is 100 and their difference is 50, the ratio of the two numbers will be"},"content":{"rendered":"

[amp_mcq option1=”02:01″ option2=”03:01″ option3=”04:01″ option4=”05:01″ correct=”option3″]<\/p>\n

The correct answer is (c).<\/p>\n

Let $x$ and $y$ be the two numbers. We know that $x+y=100$ and $x-y=50$. Adding these two equations, we get $2x=150$, so $x=75$. Substituting this into $x+y=100$, we get $75+y=100$, so $y=25$. Therefore, the ratio of the two numbers is $\\frac{x}{y}=\\frac{75}{25}=\\boxed{3:1}$.<\/p>\n

Option (a) is incorrect because the sum of the two numbers is 100, not 50. Option (b) is incorrect because the difference of the two numbers is 50, not 25. Option (d) is incorrect because the ratio of the two numbers is 3:1, not 5:1.<\/p>\n","protected":false},"excerpt":{"rendered":"

[amp_mcq option1=”02:01″ option2=”03:01″ option3=”04:01″ option4=”05:01″ correct=”option3″]<\/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-4428","post","type-post","status-publish","format-standard","hentry","category-algebra","no-featured-image-padding"],"yoast_head":"\nIf the sum of two numbers is 100 and their difference is 50, the ratio of the two numbers will be<\/title>\n<meta name=\"description\" content=\"Let $x$ and $y$ be the two numbers. We know that $x+y=100$ and $x-y=50$. Adding these two equations, we get $2x=150$, so $x=75$. Substituting this into $x+y=100$, we get $75+y=100$, so $y=25$. Therefore, the ratio of the two numbers is $frac{x}{y}=frac{75}{25}=boxed{3:1}$.\" \/>\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\/if-the-sum-of-two-numbers-is-100-and-their-difference-is-50-the-ratio-of-the-two-numbers-will-be\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"If the sum of two numbers is 100 and their difference is 50, the ratio of the two numbers will be\" \/>\n<meta property=\"og:description\" content=\"Let $x$ and $y$ be the two numbers. We know that $x+y=100$ and $x-y=50$. Adding these two equations, we get $2x=150$, so $x=75$. Substituting this into $x+y=100$, we get $75+y=100$, so $y=25$. Therefore, the ratio of the two numbers is $frac{x}{y}=frac{75}{25}=boxed{3:1}$.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/if-the-sum-of-two-numbers-is-100-and-their-difference-is-50-the-ratio-of-the-two-numbers-will-be\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2024-03-05T16:06:09+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<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"If the sum of two numbers is 100 and their difference is 50, the ratio of the two numbers will be","description":"Let $x$ and $y$ be the two numbers. We know that $x+y=100$ and $x-y=50$. Adding these two equations, we get $2x=150$, so $x=75$. Substituting this into $x+y=100$, we get $75+y=100$, so $y=25$. Therefore, the ratio of the two numbers is $frac{x}{y}=frac{75}{25}=boxed{3:1}$.","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\/if-the-sum-of-two-numbers-is-100-and-their-difference-is-50-the-ratio-of-the-two-numbers-will-be\/","og_locale":"en_US","og_type":"article","og_title":"If the sum of two numbers is 100 and their difference is 50, the ratio of the two numbers will be","og_description":"Let $x$ and $y$ be the two numbers. We know that $x+y=100$ and $x-y=50$. Adding these two equations, we get $2x=150$, so $x=75$. Substituting this into $x+y=100$, we get $75+y=100$, so $y=25$. Therefore, the ratio of the two numbers is $frac{x}{y}=frac{75}{25}=boxed{3:1}$.","og_url":"https:\/\/exam.pscnotes.com\/mcq\/if-the-sum-of-two-numbers-is-100-and-their-difference-is-50-the-ratio-of-the-two-numbers-will-be\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2024-03-05T16:06:09+00:00","author":"rawan239","twitter_card":"summary_large_image","twitter_misc":{"Written by":"rawan239"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/exam.pscnotes.com\/mcq\/if-the-sum-of-two-numbers-is-100-and-their-difference-is-50-the-ratio-of-the-two-numbers-will-be\/","url":"https:\/\/exam.pscnotes.com\/mcq\/if-the-sum-of-two-numbers-is-100-and-their-difference-is-50-the-ratio-of-the-two-numbers-will-be\/","name":"If the sum of two numbers is 100 and their difference is 50, the ratio of the two numbers will be","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2024-03-05T16:06:09+00:00","dateModified":"2024-03-05T16:06:09+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"Let $x$ and $y$ be the two numbers. We know that $x+y=100$ and $x-y=50$. Adding these two equations, we get $2x=150$, so $x=75$. Substituting this into $x+y=100$, we get $75+y=100$, so $y=25$. 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