{"id":544,"date":"2026-04-23T19:18:43","date_gmt":"2026-04-23T19:18:43","guid":{"rendered":"https:\/\/paxtonhegmann.com\/?p=544"},"modified":"2026-04-23T19:18:43","modified_gmt":"2026-04-23T19:18:43","slug":"a-quick-logic-puzzle-that-looks-simple-but-isnt","status":"publish","type":"post","link":"https:\/\/paxtonhegmann.com\/?p=544","title":{"rendered":"A Quick Logic Puzzle That Looks Simple\u2026 But Isn\u2019t"},"content":{"rendered":"\n<p>At first glance, this puzzle seems very straightforward. It gives you just two small clues:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>A father and his son\u2019s ages add up to 66<\/li>\n\n\n\n<li>The father\u2019s age is the reverse of his son\u2019s age<\/li>\n<\/ul>\n\n\n\n<p>Sounds easy, but many people rush and get it wrong.<\/p>\n\n\n\n<p>Let\u2019s break it down step by step.<\/p>\n\n\n\n<p>We are told that the two ages are made up of the same digits, just reversed. That means we are looking for pairs like:<\/p>\n\n\n\n<p>12 and 21<br>23 and 32<br>34 and 43<br>45 and 54<\/p>\n\n\n\n<p>Now we test each pair to see which one adds up to 66:<\/p>\n\n\n\n<p>12 + 21 = 33<br>23 + 32 = 55<br>34 + 43 = 77<br>45 + 54 = 99<\/p>\n\n\n\n<p>None of these work.<\/p>\n\n\n\n<p>So we need to think more carefully.<\/p>\n\n\n\n<p>Let\u2019s represent the son\u2019s age as a two-digit number: 10a + b<br>Then the father\u2019s age, being the reverse, is: 10b + a<\/p>\n\n\n\n<p>If we add them together:<\/p>\n\n\n\n<p>(10a + b) + (10b + a) = 66<br>11a + 11b = 66<br>11(a + b) = 66<br>a + b = 6<\/p>\n\n\n\n<p>Now we just need two digits that add up to 6, where the father is older than the son. The valid pair is:<\/p>\n\n\n\n<p>a = 1 and b = 5<\/p>\n\n\n\n<p>So:<\/p>\n\n\n\n<p>Son = 15<br>Father = 51<\/p>\n\n\n\n<p>Check:<\/p>\n\n\n\n<p>15 + 51 = 66<br>51 is the reverse of 15<br>The father is older than the son<\/p>\n\n\n\n<p>Everything matches perfectly.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>Final Answer:<\/strong><br>Father: 51 years old<br>Son: 15 years old<\/p>\n","protected":false},"excerpt":{"rendered":"<div class=\"mh-excerpt\"><p>At first glance, this puzzle seems very straightforward. It gives you just two small clues: Sounds easy, but many people rush and get it wrong. <a class=\"mh-excerpt-more\" href=\"https:\/\/paxtonhegmann.com\/?p=544\" title=\"A Quick Logic Puzzle That Looks Simple\u2026 But Isn\u2019t\">[&#8230;]<\/a><\/p>\n<\/div>","protected":false},"author":2,"featured_media":545,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-544","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-home"],"_links":{"self":[{"href":"https:\/\/paxtonhegmann.com\/index.php?rest_route=\/wp\/v2\/posts\/544","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/paxtonhegmann.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/paxtonhegmann.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/paxtonhegmann.com\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/paxtonhegmann.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=544"}],"version-history":[{"count":1,"href":"https:\/\/paxtonhegmann.com\/index.php?rest_route=\/wp\/v2\/posts\/544\/revisions"}],"predecessor-version":[{"id":546,"href":"https:\/\/paxtonhegmann.com\/index.php?rest_route=\/wp\/v2\/posts\/544\/revisions\/546"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/paxtonhegmann.com\/index.php?rest_route=\/wp\/v2\/media\/545"}],"wp:attachment":[{"href":"https:\/\/paxtonhegmann.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=544"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/paxtonhegmann.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=544"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/paxtonhegmann.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=544"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}