{"id":89486,"date":"2025-06-01T10:05:32","date_gmt":"2025-06-01T10:05:32","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=89486"},"modified":"2025-06-01T10:05:32","modified_gmt":"2025-06-01T10:05:32","slug":"the-average-of-x-y-and-z-is-30-and-the-average-of-x-and-y-is-20-wha","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/the-average-of-x-y-and-z-is-30-and-the-average-of-x-and-y-is-20-wha\/","title":{"rendered":"The average of x, y and z is 30, and the average of x and y is 20. Wha"},"content":{"rendered":"

The average of x, y and z is 30, and the average of x and y is 20. What is the value of z?<\/p>\n

[amp_mcq option1=”10″ option2=”20″ option3=”40″ option4=”50″ correct=”option4″]<\/p>\n

\n
\n
This question was previously asked in<\/div>\n
UPSC CAPF – 2012<\/div>\n<\/div>\n
Download PDF<\/a>Attempt Online<\/a><\/div>\n<\/div>\n
\nThe value of z is 50.
\n<\/section>\n
\nThe average of a set of numbers is the sum of the numbers divided by the count of the numbers.
\nGiven: Average of x, y, and z is 30.
\nThis means (x + y + z) \/ 3 = 30.
\nMultiplying both sides by 3, we get: x + y + z = 30 * 3 = 90. (Equation 1)
\nGiven: Average of x and y is 20.
\nThis means (x + y) \/ 2 = 20.
\nMultiplying both sides by 2, we get: x + y = 20 * 2 = 40. (Equation 2)
\nNow substitute the value of (x + y) from Equation 2 into Equation 1:
\n40 + z = 90.
\nTo find z, subtract 40 from both sides:
\nz = 90 – 40
\nz = 50.
\n<\/section>\n
\nThis is a straightforward problem involving the definition of average and solving a simple linear equation. Understanding how to translate average information into sums is key.
\n<\/section>\n","protected":false},"excerpt":{"rendered":"

The average of x, y and z is 30, and the average of x and y is 20. What is the value of z? [amp_mcq option1=”10″ option2=”20″ option3=”40″ option4=”50″ correct=”option4″] This question was previously asked in UPSC CAPF – 2012 Download PDFAttempt Online The value of z is 50. The average of a set of … <\/p>\n

Detailed SolutionThe average of x, y and z is 30, and the average of x and y is 20. Wha<\/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":[1116,1102],"class_list":["post-89486","post","type-post","status-publish","format-standard","hentry","category-upsc-capf","tag-1116","tag-quantitative-aptitude-and-reasoning","no-featured-image-padding"],"yoast_head":"\nThe average of x, y and z is 30, and the average of x and y is 20. Wha<\/title>\n<meta name=\"description\" content=\"The value of z is 50. The average of a set of numbers is the sum of the numbers divided by the count of the numbers. Given: Average of x, y, and z is 30. This means (x + y + z) \/ 3 = 30. Multiplying both sides by 3, we get: x + y + z = 30 * 3 = 90. (Equation 1) Given: Average of x and y is 20. This means (x + y) \/ 2 = 20. Multiplying both sides by 2, we get: x + y = 20 * 2 = 40. (Equation 2) Now substitute the value of (x + y) from Equation 2 into Equation 1: 40 + z = 90. To find z, subtract 40 from both sides: z = 90 - 40 z = 50.\" \/>\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-average-of-x-y-and-z-is-30-and-the-average-of-x-and-y-is-20-wha\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"The average of x, y and z is 30, and the average of x and y is 20. Wha\" \/>\n<meta property=\"og:description\" content=\"The value of z is 50. The average of a set of numbers is the sum of the numbers divided by the count of the numbers. Given: Average of x, y, and z is 30. This means (x + y + z) \/ 3 = 30. Multiplying both sides by 3, we get: x + y + z = 30 * 3 = 90. (Equation 1) Given: Average of x and y is 20. This means (x + y) \/ 2 = 20. Multiplying both sides by 2, we get: x + y = 20 * 2 = 40. (Equation 2) Now substitute the value of (x + y) from Equation 2 into Equation 1: 40 + z = 90. To find z, subtract 40 from both sides: z = 90 - 40 z = 50.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/the-average-of-x-y-and-z-is-30-and-the-average-of-x-and-y-is-20-wha\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2025-06-01T10:05:32+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 average of x, y and z is 30, and the average of x and y is 20. Wha","description":"The value of z is 50. The average of a set of numbers is the sum of the numbers divided by the count of the numbers. Given: Average of x, y, and z is 30. This means (x + y + z) \/ 3 = 30. Multiplying both sides by 3, we get: x + y + z = 30 * 3 = 90. (Equation 1) Given: Average of x and y is 20. This means (x + y) \/ 2 = 20. Multiplying both sides by 2, we get: x + y = 20 * 2 = 40. (Equation 2) Now substitute the value of (x + y) from Equation 2 into Equation 1: 40 + z = 90. To find z, subtract 40 from both sides: z = 90 - 40 z = 50.","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-average-of-x-y-and-z-is-30-and-the-average-of-x-and-y-is-20-wha\/","og_locale":"en_US","og_type":"article","og_title":"The average of x, y and z is 30, and the average of x and y is 20. Wha","og_description":"The value of z is 50. The average of a set of numbers is the sum of the numbers divided by the count of the numbers. Given: Average of x, y, and z is 30. This means (x + y + z) \/ 3 = 30. Multiplying both sides by 3, we get: x + y + z = 30 * 3 = 90. (Equation 1) Given: Average of x and y is 20. This means (x + y) \/ 2 = 20. Multiplying both sides by 2, we get: x + y = 20 * 2 = 40. (Equation 2) Now substitute the value of (x + y) from Equation 2 into Equation 1: 40 + z = 90. To find z, subtract 40 from both sides: z = 90 - 40 z = 50.","og_url":"https:\/\/exam.pscnotes.com\/mcq\/the-average-of-x-y-and-z-is-30-and-the-average-of-x-and-y-is-20-wha\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2025-06-01T10:05:32+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-average-of-x-y-and-z-is-30-and-the-average-of-x-and-y-is-20-wha\/","url":"https:\/\/exam.pscnotes.com\/mcq\/the-average-of-x-y-and-z-is-30-and-the-average-of-x-and-y-is-20-wha\/","name":"The average of x, y and z is 30, and the average of x and y is 20. Wha","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2025-06-01T10:05:32+00:00","dateModified":"2025-06-01T10:05:32+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"The value of z is 50. The average of a set of numbers is the sum of the numbers divided by the count of the numbers. Given: Average of x, y, and z is 30. This means (x + y + z) \/ 3 = 30. Multiplying both sides by 3, we get: x + y + z = 30 * 3 = 90. (Equation 1) Given: Average of x and y is 20. This means (x + y) \/ 2 = 20. Multiplying both sides by 2, we get: x + y = 20 * 2 = 40. (Equation 2) Now substitute the value of (x + y) from Equation 2 into Equation 1: 40 + z = 90. 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