{"id":236348,"date":"2025-06-16T07:46:08","date_gmt":"2025-06-16T07:46:08","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=236348"},"modified":"2025-06-16T07:46:10","modified_gmt":"2025-06-16T07:46:10","slug":"write-the-number-that-matches-the-clues","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/16\/write-the-number-that-matches-the-clues\/","title":{"rendered":"Write the number that matches the clues."},"content":{"rendered":"\n<p>Write the number that matches the clues. My number has 2 hundreds. The tens digit is 9 more than the ones digit. My number is<\/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>The number is <strong>291<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation<\/h3>\n\n\n\n<p>This numerical riddle requires logical deduction using place value and basic arithmetic. The problem provides two clues:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>The number has <strong>2 hundreds<\/strong>, which indicates the hundreds digit is 2.<\/li>\n\n\n\n<li>The <strong>tens digit is 9 more than the ones digit<\/strong>.<\/li>\n<\/ol>\n\n\n\n<p>To build the number, begin by fixing the hundreds digit. A digit of 2 in the hundreds place gives a base of 200. The next step involves identifying appropriate values for the tens and ones places that meet the second condition.<\/p>\n\n\n\n<p>Let the ones digit be represented by a variable, say <em>x<\/em>. Then, according to the second clue, the tens digit must be <em>x + 9<\/em>. Digits in base-10 numbering systems range from 0 to 9. Therefore, <em>x + 9<\/em> must also be less than or equal to 9, since the tens digit cannot exceed this range.<\/p>\n\n\n\n<p>Solving the inequality:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><em>x + 9 \u2264 9<\/em><\/li>\n\n\n\n<li>Subtracting 9 from both sides gives: <em>x \u2264 0<\/em><\/li>\n<\/ul>\n\n\n\n<p>The only digit value that satisfies this condition is <em>x = 0<\/em>.<\/p>\n\n\n\n<p>But this leads to a problem: if the ones digit is 0, then the tens digit becomes 9 (0 + 9), which is valid. The resulting number becomes <strong>290<\/strong>.<\/p>\n\n\n\n<p>However, another possible value is <em>x = 1<\/em>, giving a tens digit of 10, which is invalid since digits must range between 0 and 9. Thus, 0 is the maximum possible value for the ones digit under these constraints.<\/p>\n\n\n\n<p>But now reverse the logic. Try assigning possible values to the ones digit starting from 0 and increasing, checking whether the corresponding tens digit (<em>ones digit + 9<\/em>) still falls within valid digit range (0\u20139).<\/p>\n\n\n\n<p>Trying <em>ones = 1<\/em> \u2192 <em>tens = 10<\/em> \u2192 invalid<br>Trying <em>ones = 2<\/em> \u2192 <em>tens = 11<\/em> \u2192 invalid<br>Trying <em>ones = 0<\/em> \u2192 <em>tens = 9<\/em> \u2192 valid<\/p>\n\n\n\n<p>So, the number becomes:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Hundreds: 2<\/li>\n\n\n\n<li>Tens: 9<\/li>\n\n\n\n<li>Ones: 0<\/li>\n<\/ul>\n\n\n\n<p>Final number: <strong>290<\/strong><\/p>\n\n\n\n<p>Correction: <strong>Ones = 1<\/strong>, then <strong>tens = 10<\/strong> (invalid)<br><strong>Ones = 2<\/strong>, then <strong>tens = 11<\/strong> (invalid)<br>Try <strong>ones = 1<\/strong>, then <strong>tens = 10<\/strong> (invalid)<br>Only <strong>ones = 0<\/strong>, <strong>tens = 9<\/strong> gives valid number: <strong>290<\/strong><\/p>\n\n\n\n<p>Answer: <strong>290<\/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\/06\/learnexams-banner10-174.jpeg\" alt=\"\" class=\"wp-image-236349\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Write the number that matches the clues. My number has 2 hundreds. The tens digit is 9 more than the ones digit. My number is The Correct Answer and Explanation is: The number is 291. Explanation This numerical riddle requires logical deduction using place value and basic arithmetic. The problem provides two clues: To build [&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-236348","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/236348","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=236348"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/236348\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=236348"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=236348"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=236348"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}