{"id":232564,"date":"2025-06-12T03:27:41","date_gmt":"2025-06-12T03:27:41","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=232564"},"modified":"2025-06-12T03:27:44","modified_gmt":"2025-06-12T03:27:44","slug":"what-two-numbers-multiply-to-56-and-add-up-to-10","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/12\/what-two-numbers-multiply-to-56-and-add-up-to-10\/","title":{"rendered":"what two numbers multiply to -56 and add up to 10"},"content":{"rendered":"\n
what two numbers multiply to -56 and add up to 10<\/p>\n\n\n\n
The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n
Correct Answer:<\/strong><\/h3>\n\n\n\n
The two numbers are 14<\/strong> and \u20134<\/strong>.<\/p>\n\n\n\n
In algebra, we often encounter problems that ask us to find two numbers based on their product and their sum. These types of problems are commonly used when factoring quadratic trinomials, solving equations, or working with number puzzles.<\/p>\n\n\n\n
In this case, we are given two conditions:<\/p>\n\n\n\n
\n
The product<\/strong> of two numbers is \u201356<\/strong><\/li>\n\n\n\n
The sum<\/strong> of the same two numbers is 10<\/strong><\/li>\n<\/ul>\n\n\n\n
To solve this, we need to think of factor pairs of \u201356, because we are looking for two numbers that multiply to give \u201356. Since the product is negative<\/strong>, one number must be positive<\/strong> and the other must be negative<\/strong>.<\/p>\n\n\n\n
Let\u2019s list all factor pairs of \u201356 and check their sums:<\/p>\n\n\n\n
\n
1 and \u201356 \u2192 1 + (\u201356) = \u201355<\/li>\n\n\n\n
\u20131 and 56 \u2192 \u20131 + 56 = 55<\/li>\n\n\n\n
2 and \u201328 \u2192 2 + (\u201328) = \u201326<\/li>\n\n\n\n
\u20132 and 28 \u2192 \u20132 + 28 = 26<\/li>\n\n\n\n
4 and \u201314 \u2192 4 + (\u201314) = \u201310<\/li>\n\n\n\n
\u20134 and 14 \u2192 \u20134 + 14 = 10 \u2714<\/li>\n\n\n\n
7 and \u20138 \u2192 7 + (\u20138) = \u20131<\/li>\n\n\n\n
\u20137 and 8 \u2192 \u20137 + 8 = 1<\/li>\n<\/ul>\n\n\n\n
Out of all these combinations, only \u20134 and 14<\/strong> add up to 10<\/strong>, while still multiplying to \u201356<\/strong>. This means these are the correct two numbers.<\/p>\n\n\n\n
Thus, 14 and \u20134<\/strong> are the numbers that satisfy both conditions.<\/p>\n\n\n\n
This method of trial and error with factor pairs is a reliable and structured approach when solving problems involving a target sum and product.<\/p>\n\n\n\n<\/figure>\n","protected":false},"excerpt":{"rendered":"
what two numbers multiply to -56 and add up to 10 The Correct Answer and Explanation is: Correct Answer: The two numbers are 14 and \u20134. Check: Explanation (Textbook Style): In algebra, we often encounter problems that ask us to find two numbers based on their product and their sum. These types of problems are […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","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-5)","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-5)","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-5)","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":[25],"tags":[],"class_list":["post-232564","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/232564","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=232564"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/232564\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=232564"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=232564"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=232564"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
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<\/figure>\n","protected":false},"excerpt":{"rendered":"