{"id":21657,"date":"2016-02-16T20:49:23","date_gmt":"2016-02-16T20:49:23","guid":{"rendered":"http:\/\/www.mometrix.com\/academy\/?page_id=21657"},"modified":"2026-06-22T10:29:12","modified_gmt":"2026-06-22T15:29:12","slug":"age-word-problems-in-math","status":"publish","type":"page","link":"https:\/\/www.mometrix.com\/academy\/age-word-problems-in-math\/","title":{"rendered":"Age Word Problems"},"content":{"rendered":"\n\t\t\t<div id=\"mmDeferVideoEncompass_0NaYiS7RXCI\" style=\"position: relative;\">\n\t\t\t<picture>\n\t\t\t\t<source srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/01\/circle-play-duotone.webp\" type=\"image\/webp\">\n\t\t\t\t<source srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/01\/circle-play-duotone.png\" type=\"image\/jpeg\"> \n\t\t\t\t<img fetchpriority=\"high\" decoding=\"async\" loading=\"eager\" id=\"videoThumbnailImage_0NaYiS7RXCI\" data-source-videoID=\"0NaYiS7RXCI\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/01\/circle-play-duotone.png\" alt=\"Age Word Problems Video\" height=\"720\" width=\"1280\" class=\"size-full\" data-matomo-title = \"Age Word Problems\">\n\t\t\t<\/picture>\n\t\t\t<\/div>\n\t\t\t<style>img#videoThumbnailImage_0NaYiS7RXCI:hover {cursor:pointer;} img#videoThumbnailImage_0NaYiS7RXCI {background-size:contain;background-image:url(\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2026\/04\/Age-word-problems-thumb.jpg\");}<\/style>\n\t\t\t<script defer>\n\t\t\t  jQuery(\"img#videoThumbnailImage_0NaYiS7RXCI\").click(function() {\n\t\t\t\tlet videoId = jQuery(this).attr(\"data-source-videoID\");\n\t\t\t\tlet helpTag = '<div id=\"mmDeferVideoYTMessage_0NaYiS7RXCI\" style=\"display: none;position: absolute;top: -24px;width: 100%;text-align: center;\"><span style=\"font-style: italic;font-size: small;border-top: 1px solid #fc0;\">Having trouble? <a href=\"https:\/\/www.youtube.com\/watch?v='+videoId+'\" target=\"_blank\">Click here to watch on YouTube.<\/a><\/span><\/div>';\n\t\t\t\tlet tag = document.createElement(\"iframe\");\n\t\t\t\ttag.id = \"yt\" + videoId;\n\t\t\t\ttag.src = \"https:\/\/www.youtube-nocookie.com\/embed\/\" + videoId + \"?autoplay=1&controls=1&wmode=opaque&rel=0&egm=0&iv_load_policy=3&hd=0&enablejsapi=1\";\n\t\t\t\ttag.frameborder = 0;\n\t\t\t\ttag.allow = \"autoplay; fullscreen\";\n\t\t\t\ttag.width = this.width;\n\t\t\t\ttag.height = this.height;\n\t\t\t\ttag.setAttribute(\"data-matomo-title\",\"Age Word Problems\");\n\t\t\t\tjQuery(\"div#mmDeferVideoEncompass_0NaYiS7RXCI\").html(tag);\n\t\t\t\tjQuery(\"div#mmDeferVideoEncompass_0NaYiS7RXCI\").prepend(helpTag);\n\t\t\t\tsetTimeout(function(){jQuery(\"div#mmDeferVideoYTMessage_0NaYiS7RXCI\").css(\"display\", \"block\");}, 2000);\n\t\t\t  });\n\t\t\t  \n\t\t\t<\/script>\n\t\t\n<p><script>\nfunction Fiu_Function() {\n  var x = document.getElementById(\"Fiu\");\n  if (x.style.display === \"none\") {\n    x.style.display = \"block\";\n  } else {\n    x.style.display = \"none\";\n  }\n}\n<\/script><\/p>\n<div class=\"moc-toc hide-on-desktop hide-on-tablet\">\n<div><button onclick=\"Fiu_Function()\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/12\/toc2.svg\" width=\"16\" height=\"16\" alt=\"show or hide table of contents\"><\/button><\/p>\n<p>On this page<\/p>\n<\/div>\n<nav id=\"Fiu\" style=\"display:none;\">\n<ul>\n<li class=\"toc-h2\"><a href=\"#Example_Problem\" class=\"smooth-scroll\">Example Problem<\/a><\/li>\n<\/ul>\n<\/nav>\n<\/div>\n<div class=\"accordion\"><input id=\"transcript\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"transcript\">Transcript<\/label>\n<div class=\"spoiler\" id=\"transcript-spoiler\">\n<p>Hi, and welcome to this is video lesson on age word problems!<\/p>\n<p>Yes, the crazy, confusing, tricky age word problems where you&#8217;re given a bunch of names, and ages, and code. But don&#8217;t worry! We&#8217;re going to find the straightforward way to solve for one of these problems.<\/p>\n<h2><span id=\"Example_Problem\" class=\"m-toc-anchor\"><\/span>Example Problem<\/h2>\n<p>\nLet&#8217;s take a look.<\/p>\n<p>Mike, Gavin, and Bella are siblings. Mike is three years older than twice Bella&#8217;s age. Gavin is five years younger than Mike. If Bella is 4, determine the age of her siblings.<\/p>\n<p>Ok, so we need to sort through these names and ages before we get confused. Let&#8217;s take three steps to do that.<\/p>\n<h3><span id=\"Step_1\" class=\"m-toc-anchor\"><\/span>Step 1<\/h3>\n<p>\nCreate a little table of things we know. Since there are three people, let&#8217;s put down their names: Bella, Mike, Gavin.<\/p>\n<h3><span id=\"Step_2\" class=\"m-toc-anchor\"><\/span>Step 2<\/h3>\n<p>\nLet&#8217;s put their age equations into our table. First, let&#8217;s say Bella&#8217;s age is \\(x\\), because her brothers ages depend on hers, so Bella is \\(x\\) years old. Mike is twice Bella&#8217;s age, plus three years, so let&#8217;s do \\(2 \\times x + 3\\) for Mike. Gavin is five years younger than Mike, so let&#8217;s go ahead and use Mike&#8217;s equation, minus 5, which is \\(2x-2\\).<\/p>\n<p>Now that we know that, let&#8217;s go ahead and work on the third step.<\/p>\n<h3><span id=\"Step_3\" class=\"m-toc-anchor\"><\/span>Step 3<\/h3>\n<p>\nSolve for the ages of Bella and her brothers. In the last part of the problem, we were told to substitute 4 for Bella&#8217;s age, so let&#8217;s go ahead and say that \\(x=4\\).<\/p>\n<p>If that&#8217;s a given, then we know Mike\u2019s and Gavin&#8217;s age because all we have to do is plug 4 in for \\(x\\). For Mike, \\(2 \\times 4  + 3 = 11\\). For Gavin, \\(2 \\times 4 &#8211; 2 = 6\\), so we know that Bella is 4, Mike is 11, and Gavin is 6.<\/p>\n<p>I hope that helps. Thanks so much for watching this video lesson, and until next time, happy studying!<\/p>\n<\/div>\n<\/div>\n\n<div class=\"home-buttons\">\n<p><a href=\"https:\/\/www.mometrix.com\/academy\/basic-arithmetic\/\">Return to Basic Arithmetic Videos<\/a><\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Return to Basic Arithmetic Videos<\/p>\n","protected":false},"author":1,"featured_media":291875,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":{"0":"post-21657","1":"page","2":"type-page","3":"status-publish","4":"has-post-thumbnail","6":"page_category-math-advertising-group","7":"page_category-word-problems","8":"page_type-video","9":"subject_matter-math"},"aioseo_notices":[],"aioseo_head":"\n\t\t<!-- All in One SEO Pro 4.9.9 - aioseo.com -->\n\t<meta name=\"description\" content=\"Math problems involving age can be solved by using keywords as clues, drawing tables, and substituting. 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