{"id":163428,"date":"2024-03-04T15:14:02","date_gmt":"2024-03-04T09:44:02","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=163428"},"modified":"2024-03-04T15:14:04","modified_gmt":"2024-03-04T09:44:04","slug":"the-product-of-two-positive-numbers-is-32-if-the-sum-of-their-squares-is-80-then-find-the-difference-between-the-two-numbers","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/the-product-of-two-positive-numbers-is-32-if-the-sum-of-their-squares-is-80-then-find-the-difference-between-the-two-numbers\/","title":{"rendered":"The product of two positive numbers is 32. If the sum of their squares is 80, then find the difference between the two numbers"},"content":{"rendered":"\n

The product of two positive numbers is 32. If the sum of their squares is 80, then find the difference between the two numbers.<\/p>\n\n\n\n

a)            12<\/p>\n\n\n\n

b)            14<\/p>\n\n\n\n

c)            4<\/strong><\/p>\n\n\n\n

d)            8<\/p>\n\n\n\n

e)            10<\/p>\n\n\n\n

Sol:<\/p>\n\n\n\n

Let the two numbers be \u2018a\u2019 and \u2018b\u2019.<\/p>\n\n\n\n

a*b = 32 \u2026\u2026\u2026\u2026\u2026. (1)<\/p>\n\n\n\n

a2<\/sup> + b2<\/sup> = 80 \u2026\u2026\u2026\u2026\u2026 (2)<\/p>\n\n\n\n

We know that (a – b)2<\/sup> = a2<\/sup> + b2<\/sup> – 2ab<\/p>\n\n\n\n

Equation (1), (2)<\/p>\n\n\n\n

(a – b)2 <\/sup>= 80 – 2 *32<\/p>\n\n\n\n

(a – b)2<\/sup> = 16<\/p>\n\n\n\n

a – b = 4<\/p>\n\n\n\n

Required difference = 4<\/p>\n","protected":false},"excerpt":{"rendered":"

The product of two positive numbers is 32. If the sum of their squares is 80, then find the difference between the two numbers. a)            12 b)            14 c)            4 d)            8 e)            10 Sol: Let the two numbers be \u2018a\u2019 and \u2018b\u2019. a*b = 32 \u2026\u2026\u2026\u2026\u2026. (1) a2 + b2 = 80 \u2026\u2026\u2026\u2026\u2026 (2) […]<\/p>\n","protected":false},"author":419,"featured_media":163429,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[5138],"tags":[5139],"offerexpiration":[],"class_list":["post-163428","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\/163428","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=163428"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/163428\/revisions"}],"predecessor-version":[{"id":163430,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/163428\/revisions\/163430"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/163429"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=163428"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=163428"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=163428"},{"taxonomy":"offerexpiration","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/offerexpiration?post=163428"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}