{"id":341,"date":"2017-02-28T16:41:36","date_gmt":"2017-02-28T21:11:36","guid":{"rendered":"http:\/\/www.blogs.euni.org\/?p=341"},"modified":"2018-04-10T20:15:56","modified_gmt":"2018-04-11T00:15:56","slug":"an-age-conundrum","status":"publish","type":"post","link":"https:\/\/www.blogs.euni.org\/?p=341","title":{"rendered":"An Age Conundrum"},"content":{"rendered":"<p>On an snowy Sunday afternoon, Friedrich was walking down an icy street deep in thought when he bumped into his mathematician colleague Leonard.<\/p>\n<p>\u201cHi Leonard, nice to see you again,\u201d mumbled Friedrich absent-mindedly, his breath emanating from his nostrils as fog in the cold.<\/p>\n<p>\u201cLikewise, Friedrich. You seem to be absorbed in something,\u201d observed Leonard while smacking his gloved hands together to keep warm.<\/p>\n<p>\u201cYes, you are right. I just came from visiting my brother Pascal and his family. He gave me a conundrum for the ages of the children of his brother-in-law, which I am ruminating on,\u201d said Friedrich, scratching his head.<\/p>\n<p>\u201cI\u2019m completely curious,\u201d said Leonard with big eyes.<\/p>\n<p>\u201cOk, Leonard, here you have the convoluted puzzle. Let\u2019s see what you can do with it,\u201d said Friedrich:<\/p>\n<p><em>\u201cWhen Albert is a third as old as Tina will be the year before when Albert is half as old as Lola is now, Tina will be twice as old as Lola was when Albert was half his current age.\u201d<\/em><\/p>\n<p><em>\u201cA year ago Tina was older than Albert\u2019s current age by one eighth of the product of Tina and Lola\u2019s present age difference and that of Lola and Albert.\u201d<\/em><\/p>\n<p>\u201cWhat do you think about it?\u201d inquired Friedrich.<\/p>\n<p>\u201cWell, it certainly is something to chew on. I suggest we head for a fine warm French bistro I know about just around the corner,\u201d invited Leonard.<\/p>\n<p>\u201cOk, last to solve the puzzle pays,\u201d smiled Friedrich.<\/p>\n<p><em>Can you help Friedrich and Leonard work out the ages of Albert, Tina and Lola?<\/em><\/p>\n<div class=\"sharedaddy sd-sharing-enabled\"><div class=\"robots-nocontent sd-block sd-social sd-social-icon sd-sharing\"><h3 class=\"sd-title\">Share this:<\/h3><div class=\"sd-content\"><ul><li class=\"share-twitter\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"sharing-twitter-341\" class=\"share-twitter sd-button share-icon no-text\" href=\"https:\/\/www.blogs.euni.org\/?p=341&amp;share=twitter\" target=\"_blank\" title=\"Click to share on Twitter\"><span><\/span><span class=\"sharing-screen-reader-text\">Click to share on Twitter (Opens in new window)<\/span><\/a><\/li><li class=\"share-facebook\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"sharing-facebook-341\" class=\"share-facebook sd-button share-icon no-text\" href=\"https:\/\/www.blogs.euni.org\/?p=341&amp;share=facebook\" target=\"_blank\" title=\"Click to share on Facebook\"><span><\/span><span class=\"sharing-screen-reader-text\">Click to share on Facebook (Opens in new window)<\/span><\/a><\/li><li class=\"share-linkedin\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"sharing-linkedin-341\" class=\"share-linkedin sd-button share-icon no-text\" href=\"https:\/\/www.blogs.euni.org\/?p=341&amp;share=linkedin\" target=\"_blank\" title=\"Click to share on LinkedIn\"><span><\/span><span class=\"sharing-screen-reader-text\">Click to share on LinkedIn (Opens in new window)<\/span><\/a><\/li><li class=\"share-jetpack-whatsapp\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"\" class=\"share-jetpack-whatsapp sd-button share-icon no-text\" href=\"https:\/\/www.blogs.euni.org\/?p=341&amp;share=jetpack-whatsapp\" target=\"_blank\" title=\"Click to share on WhatsApp\"><span><\/span><span class=\"sharing-screen-reader-text\">Click to share on WhatsApp (Opens in new window)<\/span><\/a><\/li><li class=\"share-end\"><\/li><\/ul><\/div><\/div><\/div>","protected":false},"excerpt":{"rendered":"<p>On an snowy Sunday afternoon, Friedrich was walking down an icy street deep in thought when he bumped into his mathematician colleague Leonard. \u201cHi Leonard, nice to see you again,\u201d mumbled Friedrich absent-mindedly, his breath emanating from his nostrils as fog in the cold. \u201cLikewise, Friedrich. You seem to be absorbed in something,\u201d observed Leonard [&hellip;]<\/p>\n<div class=\"sharedaddy sd-sharing-enabled\"><div class=\"robots-nocontent sd-block sd-social sd-social-icon sd-sharing\"><h3 class=\"sd-title\">Share this:<\/h3><div class=\"sd-content\"><ul><li class=\"share-twitter\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"sharing-twitter-341\" class=\"share-twitter sd-button share-icon no-text\" href=\"https:\/\/www.blogs.euni.org\/?p=341&amp;share=twitter\" target=\"_blank\" title=\"Click to share on Twitter\"><span><\/span><span class=\"sharing-screen-reader-text\">Click to share on Twitter (Opens in new window)<\/span><\/a><\/li><li class=\"share-facebook\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"sharing-facebook-341\" class=\"share-facebook sd-button share-icon no-text\" href=\"https:\/\/www.blogs.euni.org\/?p=341&amp;share=facebook\" target=\"_blank\" title=\"Click to share on Facebook\"><span><\/span><span class=\"sharing-screen-reader-text\">Click to share on Facebook (Opens in new window)<\/span><\/a><\/li><li class=\"share-linkedin\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"sharing-linkedin-341\" class=\"share-linkedin sd-button share-icon no-text\" href=\"https:\/\/www.blogs.euni.org\/?p=341&amp;share=linkedin\" target=\"_blank\" title=\"Click to share on LinkedIn\"><span><\/span><span class=\"sharing-screen-reader-text\">Click to share on LinkedIn (Opens in new window)<\/span><\/a><\/li><li class=\"share-jetpack-whatsapp\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"\" class=\"share-jetpack-whatsapp sd-button share-icon no-text\" href=\"https:\/\/www.blogs.euni.org\/?p=341&amp;share=jetpack-whatsapp\" target=\"_blank\" title=\"Click to share on WhatsApp\"><span><\/span><span class=\"sharing-screen-reader-text\">Click to share on WhatsApp (Opens in new window)<\/span><\/a><\/li><li class=\"share-end\"><\/li><\/ul><\/div><\/div><\/div>","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"spay_email":"","jetpack_publicize_message":"","jetpack_is_tweetstorm":false},"categories":[17,29],"tags":[98],"jetpack_featured_media_url":"","jetpack_publicize_connections":[],"jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p7zDaf-5v","jetpack-related-posts":[{"id":300,"url":"https:\/\/www.blogs.euni.org\/?p=300","url_meta":{"origin":341,"position":0},"title":"An Age Puzzle","date":"January 15, 2017","format":false,"excerpt":"Fred, a mathematician, was walking leisurely down a sunny street on a Saturday afternoon when he spotted his colleague Leonard that he had run into not so long ago. \u201cHello Leonard, nice to see you again. \u201cLikewise, Fred, I see you are well,\u201d replied Leonard, shaking his hand. \u201cLast time\u2026","rel":"","context":"In &quot;Ages&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":161,"url":"https:\/\/www.blogs.euni.org\/?p=161","url_meta":{"origin":341,"position":1},"title":"Some Special Numbers","date":"July 25, 2016","format":false,"excerpt":"A mathematician walking leisurely down a street on a Sunday afternoon spotted a colleague he had not seen for some time. \u201cHello Fred, nice to see you. \u201cLikewise, Leonard, I see you are well,\u201d replied Fred, shaking his hand. \u201cDid you ever marry Helen?\u201d \u201cYes, I did and now we\u2026","rel":"","context":"In &quot;Ages&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":182,"url":"https:\/\/www.blogs.euni.org\/?p=182","url_meta":{"origin":341,"position":2},"title":"The Crooked Minter","date":"August 21, 2016","format":false,"excerpt":"King Midas suspected that his minter of gold coins, Horatio, was stealing from the mint by inserting false coins. As he had 1000 boxes, each containing 100 coins, ready for shipment to King Neptune to pay for construction of some luxury ships, he wondered how he best could check on\u2026","rel":"","context":"In &quot;Probability&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":100,"url":"https:\/\/www.blogs.euni.org\/?p=100","url_meta":{"origin":341,"position":3},"title":"Captain Silver's Treasure","date":"June 16, 2016","format":false,"excerpt":"After a great battle with a Spanish treasure fleet, Captain Long John Silver decides to share the booty with his loyal crew. Standing on the aftcastle Captain Silver summons the crew. \"Sea dogs,\" he booms, \"the treasure chest you see before you contains 10,000 doubloons you have liberated from the\u2026","rel":"","context":"In &quot;Algebra&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":152,"url":"https:\/\/www.blogs.euni.org\/?p=152","url_meta":{"origin":341,"position":4},"title":"The Illegible Order","date":"July 17, 2016","format":false,"excerpt":"On a cool winter\u2019s day, at the famous French restaurant Chez Clouseau in New York, an order was made by phone for an upcoming event to be held later that week by the Bacchus wine club in the cave of the restaurant. The order consisted of packages of special long-burning,\u2026","rel":"","context":"In &quot;Divisibility&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":646,"url":"https:\/\/www.blogs.euni.org\/?p=646","url_meta":{"origin":341,"position":5},"title":"Playing \"Dragon Slayer\"","date":"June 30, 2018","format":false,"excerpt":"Iggy was playing \"Dragon Slayer\" on the screen. On his quest for the Holy Grail, Sir Lancelot mounted on his white charger was nearing the bridge of the Grand Dragon who posed a riddle, and the eerie scream of the Knight who answered incorrectly as he was hurled into the\u2026","rel":"","context":"In &quot;Algebra&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]}],"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=\/wp\/v2\/posts\/341"}],"collection":[{"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=341"}],"version-history":[{"count":8,"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=\/wp\/v2\/posts\/341\/revisions"}],"predecessor-version":[{"id":601,"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=\/wp\/v2\/posts\/341\/revisions\/601"}],"wp:attachment":[{"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=341"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=341"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=341"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}