{"id":11227,"date":"2022-06-29T03:50:16","date_gmt":"2022-06-28T22:20:16","guid":{"rendered":"https:\/\/mathemerize.com\/?p=11227"},"modified":"2022-06-29T03:50:20","modified_gmt":"2022-06-28T22:20:20","slug":"the-students-of-a-class-are-made-to-stand-in-rows-if-3-students-are-extra-in-a-row-there-would-be-1-row-less-if-3-students-are-less-in-a-row-there-would-be-2-rows-more-find-the-number-of-students","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/the-students-of-a-class-are-made-to-stand-in-rows-if-3-students-are-extra-in-a-row-there-would-be-1-row-less-if-3-students-are-less-in-a-row-there-would-be-2-rows-more-find-the-number-of-students\/","title":{"rendered":"The students of a class are made to stand in rows. If 3 students are extra in a row, there would be 1 row less. If 3 students are less in a row, there would be 2 rows more. Find the number of students in the class."},"content":{"rendered":"<h2>Solution :<\/h2>\n<p>Let students in each row be x.<\/p>\n<p>And Let number of rows be y.<\/p>\n<p>then, total number of students = xy<\/p>\n<p><strong>Case 1<\/strong> : When 3 students are extra in a row, then number of rows becomes (y &#8211; 1)<\/p>\n<p>xy = (x + 3)(y &#8211; 1)<\/p>\n<p>\\(\\implies\\)\u00a0 x &#8211; 3y + 3 = 0\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0&#8230;&#8230;.(1)<\/p>\n<p><strong>Case 2<\/strong> : When 3 students are less in the row, then the number of rows becomes (y + 2)<\/p>\n<p>xy = (x &#8211; 3)(y + 2)<\/p>\n<p>\\(\\implies\\)\u00a0 2x &#8211; 3y &#8211; 6 = 0\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 &#8230;&#8230;..(2)<\/p>\n<p>Solving equation (1) and (2), we get<\/p>\n<p>x = 9, y = 4<\/p>\n<p>Hence, the number of students is <strong>36<\/strong>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Solution : Let students in each row be x. And Let number of rows be y. then, total number of students = xy Case 1 : When 3 students are extra in a row, then number of rows becomes (y &#8211; 1) xy = (x + 3)(y &#8211; 1) \\(\\implies\\)\u00a0 x &#8211; 3y + 3 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathemerize.com\/the-students-of-a-class-are-made-to-stand-in-rows-if-3-students-are-extra-in-a-row-there-would-be-1-row-less-if-3-students-are-less-in-a-row-there-would-be-2-rows-more-find-the-number-of-students\/\"> <span class=\"screen-reader-text\">The students of a class are made to stand in rows. If 3 students are extra in a row, there would be 1 row less. If 3 students are less in a row, there would be 2 rows more. Find the number of students in the class.<\/span> Read More &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"default","ast-global-header-display":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":""},"categories":[911,43],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v20.12 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>The students of a class are made to stand in rows. 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