{"id":245805,"date":"2025-07-06T13:15:39","date_gmt":"2025-07-06T13:15:39","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=245805"},"modified":"2025-07-06T13:15:41","modified_gmt":"2025-07-06T13:15:41","slug":"what-2-numbers-multiply-to-30-but-add-to-16","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/06\/what-2-numbers-multiply-to-30-but-add-to-16\/","title":{"rendered":"What 2 numbers multiply to 30 but add to 16"},"content":{"rendered":"\n

What 2 numbers multiply to 30 but add to 16<\/p>\n\n\n\n

The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n

Let’s break this down step-by-step. You are looking for two numbers that multiply to 30<\/strong> and add to 16<\/strong>.<\/p>\n\n\n\n

To solve this, let’s denote the two numbers as x<\/strong> and y<\/strong>.<\/p>\n\n\n\n

    \n
  1. Multiplication condition<\/strong>:
    x\u00d7y=30x \\times y = 30x\u00d7y=30<\/li>\n\n\n\n
  2. Addition condition<\/strong>:
    x+y=16x + y = 16x+y=16<\/li>\n<\/ol>\n\n\n\n

    Step 1: Express one variable in terms of the other<\/h3>\n\n\n\n

    From the second equation x+y=16x + y = 16x+y=16, solve for one of the variables. Let’s solve for xxx:x=16\u2212yx = 16 – yx=16\u2212y<\/p>\n\n\n\n

    Step 2: Substitute into the multiplication equation<\/h3>\n\n\n\n

    Now, substitute x=16\u2212yx = 16 – yx=16\u2212y into the first equation x\u00d7y=30x \\times y = 30x\u00d7y=30:(16\u2212y)\u00d7y=30(16 – y) \\times y = 30(16\u2212y)\u00d7y=30<\/p>\n\n\n\n

    Step 3: Expand and simplify<\/h3>\n\n\n\n

    Now expand the equation:16y\u2212y2=3016y – y^2 = 3016y\u2212y2=30<\/p>\n\n\n\n

    Rearrange this into a standard quadratic form:y2\u221216y+30=0y^2 – 16y + 30 = 0y2\u221216y+30=0<\/p>\n\n\n\n

    Step 4: Solve the quadratic equation<\/h3>\n\n\n\n

    Now, we can solve this quadratic equation using the quadratic formula:y=\u2212(\u221216)\u00b1(\u221216)2\u22124(1)(30)2(1)y = \\frac{-(-16) \\pm \\sqrt{(-16)^2 – 4(1)(30)}}{2(1)}y=2(1)\u2212(\u221216)\u00b1(\u221216)2\u22124(1)(30)\u200b\u200b<\/p>\n\n\n\n

    Simplify the terms inside the square root:y=16\u00b1256\u22121202y = \\frac{16 \\pm \\sqrt{256 – 120}}{2}y=216\u00b1256\u2212120\u200b\u200by=16\u00b11362y = \\frac{16 \\pm \\sqrt{136}}{2}y=216\u00b1136\u200b\u200by=16\u00b111.662y = \\frac{16 \\pm 11.66}{2}y=216\u00b111.66\u200b<\/p>\n\n\n\n

    So, the two possible solutions for yyy are:y=16+11.662\u224813.83y = \\frac{16 + 11.66}{2} \\approx 13.83y=216+11.66\u200b\u224813.83<\/p>\n\n\n\n

    ory=16\u221211.662\u22482.17y = \\frac{16 – 11.66}{2} \\approx 2.17y=216\u221211.66\u200b\u22482.17<\/p>\n\n\n\n

    Step 5: Find corresponding xxx values<\/h3>\n\n\n\n

    Using the equation x=16\u2212yx = 16 – yx=16\u2212y, we can now find the corresponding xxx values:<\/p>\n\n\n\n

    For y\u224813.83y \\approx 13.83y\u224813.83,x\u224816\u221213.83=2.17x \\approx 16 – 13.83 = 2.17x\u224816\u221213.83=2.17<\/p>\n\n\n\n

    For y\u22482.17y \\approx 2.17y\u22482.17,x\u224816\u22122.17=13.83x \\approx 16 – 2.17 = 13.83x\u224816\u22122.17=13.83<\/p>\n\n\n\n

    Conclusion:<\/h3>\n\n\n\n

    So, the two numbers are approximately 2.17<\/strong> and 13.83<\/strong>. These values satisfy both the conditions:<\/p>\n\n\n\n

      \n
    • Their product is close to 2.17\u00d713.83\u2248302.17 \\times 13.83 \\approx 302.17\u00d713.83\u224830,<\/li>\n\n\n\n
    • Their sum is 2.17+13.83=162.17 + 13.83 = 162.17+13.83=16.<\/li>\n<\/ul>\n\n\n\n

      These numbers are not exact integers, but they are the closest real solutions to this problem.<\/p>\n\n\n\n

      \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

      What 2 numbers multiply to 30 but add to 16 The Correct Answer and Explanation is: Let’s break this down step-by-step. You are looking for two numbers that multiply to 30 and add to 16. To solve this, let’s denote the two numbers as x and y. Step 1: Express one variable in terms of […]<\/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-245805","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/245805","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=245805"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/245805\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=245805"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=245805"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=245805"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}