Two positive numbers differ by 3951. When the larger number is divided by the smaller number, the quotient is 12 and the remainder is 13. The sum of the digits of the larger number is:<\/p>\n\n\n\n
a) 12<\/p>\n\n\n\n
b) 16<\/strong><\/p>\n\n\n\n c) 18<\/p>\n\n\n\n d) 20<\/p>\n\n\n\n Sol:<\/p>\n\n\n\n Two positive numbers differ by 3951 <\/p>\n\n\n\n When larger number is divided by the smaller number , <\/p>\n\n\n\n Quotient is 12 and the remainder is 13 <\/p>\n\n\n\n Formula Used: <\/p>\n\n\n\n Dividend = Divisor \u00d7 Quotient + Remainder <\/p>\n\n\n\n Calculation: <\/p>\n\n\n\n Let us assume the larger number be x and the smaller number be y <\/p>\n\n\n\n \u21d2 x – y = 3951 ………….(1) <\/p>\n\n\n\n According to the given question, when larger number is divided by smaller number, <\/p>\n\n\n\n quotient = 12, remainder = 13 <\/p>\n\n\n\n \u21d2 Dividend = Divisor \u00d7 Quotient + Remainder <\/p>\n\n\n\n \u21d2 x = y \u00d7 12 + 13 \u21d2 x – 12y = 13 ………..(2) <\/p>\n\n\n\n On subtracting eq( 1 ) – eq (2),we get <\/p>\n\n\n\n \u21d2 11y = 3938 <\/p>\n\n\n\n \u21d2 y = 358 <\/p>\n\n\n\n Now, put the value of y in eq(1), we get <\/p>\n\n\n\n \u21d2 x – 358 = 3951 <\/p>\n\n\n\n \u21d2 x = 3951 + 358 = 4309 <\/p>\n\n\n\n Sum of the digits of the larger number x = 4 + 3 + 0 + 9 = 16 Hence, sum of the digits of the larger number is 16.<\/p>\n","protected":false},"excerpt":{"rendered":" Two positive numbers differ by 3951. When the larger number is divided by the smaller number, the quotient is 12 and the remainder is 13. The sum of the digits of the larger number is: a) 12 b) 16 c) 18 d) 20 Sol: Two positive numbers differ by 3951 When larger number is divided […]<\/p>\n","protected":false},"author":419,"featured_media":165537,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","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":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[5138],"tags":[5139],"class_list":["post-165536","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-quantitative-aptitude","tag-quantitative-aptitude"],"_links":{"self":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/165536","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/users\/419"}],"replies":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/comments?post=165536"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/165536\/revisions"}],"predecessor-version":[{"id":165538,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/165536\/revisions\/165538"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/165537"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=165536"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=165536"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=165536"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}