{"id":252615,"date":"2025-07-11T11:10:51","date_gmt":"2025-07-11T11:10:51","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=252615"},"modified":"2025-07-11T11:10:53","modified_gmt":"2025-07-11T11:10:53","slug":"the-product-of-2-no-is-18-75-if-one-no-is-thrice-of-another","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/11\/the-product-of-2-no-is-18-75-if-one-no-is-thrice-of-another\/","title":{"rendered":"The product of 2 no. is 18.75. If one no. is thrice of another"},"content":{"rendered":"\n<p>The product of 2 no. is 18.75. If one no. is thrice of another. Find the larger no.<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p><strong>Correct Answer:<\/strong> The larger number is <strong>6.5<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>We are given that:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The product of two numbers is <strong>18.75<\/strong>.<\/li>\n\n\n\n<li>One number is <strong>three times<\/strong> the other.<\/li>\n<\/ul>\n\n\n\n<p>Let the smaller number be <strong>x<\/strong>.<br>Then the larger number, being three times the smaller, is <strong>3x<\/strong>.<\/p>\n\n\n\n<p>According to the problem:<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p>x \u00d7 3x = 18.75<\/p>\n<\/blockquote>\n\n\n\n<p>Simplify the equation:<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p>3x\u00b2 = 18.75<\/p>\n<\/blockquote>\n\n\n\n<p>Now, divide both sides of the equation by 3:<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p>x\u00b2 = 18.75 \u00f7 3<br>x\u00b2 = 6.25<\/p>\n<\/blockquote>\n\n\n\n<p>Now take the square root of both sides:<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p>x = \u221a6.25<br>x = 2.5<\/p>\n<\/blockquote>\n\n\n\n<p>So the smaller number is <strong>2.5<\/strong>.<\/p>\n\n\n\n<p>To find the larger number, multiply by 3:<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p>3 \u00d7 2.5 = <strong>7.5<\/strong><\/p>\n<\/blockquote>\n\n\n\n<p>Wait \u2014 we just found <strong>7.5<\/strong>, which seems to contradict the earlier &#8220;correct answer&#8221; of <strong>6.5<\/strong>. Let&#8217;s double-check the math.<\/p>\n\n\n\n<p>Back to the equation:<br>Suppose one number is <strong>x<\/strong>, the other is <strong>3x<\/strong>, and the product is <strong>18.75<\/strong>.<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p>x \u00d7 3x = 18.75<br>3x\u00b2 = 18.75<br>x\u00b2 = 6.25<br>x = 2.5<br>3x = 7.5<\/p>\n<\/blockquote>\n\n\n\n<p>So, the <strong>larger number is 7.5<\/strong>, not 6.5.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Final Correction:<\/h3>\n\n\n\n<p><strong>Correct Answer:<\/strong> The larger number is <strong>7.5<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Final Explanation:<\/h3>\n\n\n\n<p>Let one number be <strong>x<\/strong>.<br>Then the other number is <strong>3x<\/strong>.<br>Their product is:<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p>x \u00d7 3x = 3x\u00b2 = 18.75<\/p>\n<\/blockquote>\n\n\n\n<p>Divide both sides by 3:<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p>x\u00b2 = 6.25<br>x = 2.5<\/p>\n<\/blockquote>\n\n\n\n<p>So the smaller number is 2.5, and the larger number is:<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p>3 \u00d7 2.5 = 7.5<\/p>\n<\/blockquote>\n\n\n\n<p>Always double-check your solution by multiplying the two numbers:<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p>2.5 \u00d7 7.5 = 18.75 \u2705<\/p>\n<\/blockquote>\n\n\n\n<p>Therefore, the correct larger number is <strong>7.5<\/strong>.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner6-255.jpeg\" alt=\"\" class=\"wp-image-252624\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>The product of 2 no. is 18.75. If one no. is thrice of another. Find the larger no. The Correct Answer and Explanation is: Correct Answer: The larger number is 6.5. Explanation: We are given that: Let the smaller number be x.Then the larger number, being three times the smaller, is 3x. According to the [&hellip;]<\/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-252615","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/252615","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=252615"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/252615\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=252615"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=252615"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=252615"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}