The average age of A, B, C and D is 40 years. The present age of B is 90% of the present age of A and the present age of D is 40% of the present age of C. If 10 years hence the age of B is 24 years less than the age of C at that time, then find the sum of the present ages of B and D?<\/p>\n\n\n\n
A. 50 years<\/p>\n\n\n\n
B. 40 years<\/p>\n\n\n\n
C. 70 years<\/p>\n\n\n\n
D. 60 years<\/strong><\/p>\n\n\n\n E. 90 years<\/p>\n\n\n\n Sol:<\/p>\n\n\n\n A + B + C + D = 40 * 4 = 160<\/p>\n\n\n\n B = 90\/100 * A<\/p>\n\n\n\n B\/A = 9\/10<\/p>\n\n\n\n Let B = 9k, A = 10k<\/p>\n\n\n\n D = 40\/100 * C<\/p>\n\n\n\n D\/C = 2\/5<\/p>\n\n\n\n C \u2013 B = 24<\/p>\n\n\n\n C = 24 + 9k<\/p>\n\n\n\n D = 2\/5 * (24 + 9k)<\/p>\n\n\n\n 9k + 10k + 24 + 9k + 48\/5 + 18k\/5 = 160<\/p>\n\n\n\n k = 4<\/p>\n\n\n\n Present age of B = 9 * 4 = 36<\/p>\n\n\n\n Present age of D = 2\/5 * (24 + 36) = 24<\/p>\n\n\n\n Sum of the ages of B and D = 36 + 24 = 60 years<\/p>\n","protected":false},"excerpt":{"rendered":" The average age of A, B, C and D is 40 years. The present age of B is 90% of the present age of A and the present age of D is 40% of the present age of C. If 10 years hence the age of B is 24 years less than the age of […]<\/p>\n","protected":false},"author":419,"featured_media":163525,"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-163524","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\/163524","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=163524"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/163524\/revisions"}],"predecessor-version":[{"id":163526,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/163524\/revisions\/163526"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/163525"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=163524"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=163524"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=163524"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}