{"id":436,"date":"2017-08-14T23:46:32","date_gmt":"2017-08-15T03:46:32","guid":{"rendered":"http:\/\/www.blogs.euni.org\/?p=436"},"modified":"2017-08-14T23:46:32","modified_gmt":"2017-08-15T03:46:32","slug":"the-family-ages","status":"publish","type":"post","link":"https:\/\/www.blogs.euni.org\/?p=436","title":{"rendered":"The Family Ages"},"content":{"rendered":"<p>Jack asked Fred \u201cHow old are your family members?\u201d<\/p>\n<p>\u201cTen years ago my father was twice my age and my mother\u2019s age was a perfect number,\u201d said Fred.<\/p>\n<p>\u201cThat helps with your mother\u2019s age, but I need more information about your father,\u201d said Jack.<\/p>\n<p>\u201cNo problem. The square of my father\u2019s age is equal to the year he was born,\u201d replied Fred.<\/p>\n<p>\u201cOk, got it,\u201d said Jack. \u201cWhat about your brother and sister?\u201d<\/p>\n<p>\u201cTen years ago my sister Lara was the same age as my brother Nick is now. In two years my father will be half the age his father was when he died,\u201d said Fred.<\/p>\n<p>\u201cVery interesting,\u201d said Jack.<\/p>\n<p>\u201cMy great grandfather told my father he would be reborn in a year equal to one quarter of a perfect number, which is when Nick\u2019s turtle \u2013 that my great grandfather gave to my father newly hatched ten years before he died \u2013 will probably die,\u201d said Fred.<\/p>\n<p>\u201cHow nice, any more info?\u201d said Jack.<\/p>\n<p>\u201cMy sister Lara\u2019s age is a divisor of the cross sum of the turtle\u2019s present age,\u201d said Fred.<\/p>\n<p>\u201cAnd what about your grandfather\u2019s age?\u201d asked Jack.<\/p>\n<p>\u201cWhen my father was born my grandfather was as old as half the sum of my mother\u2019s age and that of my father\u2019s ten years ago,\u201d said Fred.<\/p>\n<p>\u201cGee thanks, I\u2019ll go and think about it,\u201d said Jack and walked off.<\/p>\n<p><em>What do you say are the ages of these family members, including the turtle.<\/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-436\" class=\"share-twitter sd-button share-icon no-text\" href=\"https:\/\/www.blogs.euni.org\/?p=436&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-436\" class=\"share-facebook sd-button share-icon no-text\" href=\"https:\/\/www.blogs.euni.org\/?p=436&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-436\" class=\"share-linkedin sd-button share-icon no-text\" href=\"https:\/\/www.blogs.euni.org\/?p=436&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=436&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>Jack asked Fred \u201cHow old are your family members?\u201d \u201cTen years ago my father was twice my age and my mother\u2019s age was a perfect number,\u201d said Fred. \u201cThat helps with your mother\u2019s age, but I need more information about your father,\u201d said Jack. \u201cNo problem. The square of my father\u2019s age is equal to [&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-436\" class=\"share-twitter sd-button share-icon no-text\" href=\"https:\/\/www.blogs.euni.org\/?p=436&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-436\" class=\"share-facebook sd-button share-icon no-text\" href=\"https:\/\/www.blogs.euni.org\/?p=436&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-436\" class=\"share-linkedin sd-button share-icon no-text\" href=\"https:\/\/www.blogs.euni.org\/?p=436&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=436&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":[29,50],"tags":[128],"jetpack_featured_media_url":"","jetpack_publicize_connections":[],"jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p7zDaf-72","jetpack-related-posts":[{"id":300,"url":"https:\/\/www.blogs.euni.org\/?p=300","url_meta":{"origin":436,"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":436,"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":450,"url":"https:\/\/www.blogs.euni.org\/?p=450","url_meta":{"origin":436,"position":2},"title":"The Christmas Gifts","date":"August 31, 2017","format":false,"excerpt":"Fred and Mary were trying to work out how to give five gifts to their three boys for Christmas. The kids, Henry, Mark and Joe, had told them they wanted to receive gifts more or less at random this year to see how the gifts would be distributed. \u201cWe have\u2026","rel":"","context":"In &quot;Combinations&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":281,"url":"https:\/\/www.blogs.euni.org\/?p=281","url_meta":{"origin":436,"position":3},"title":"King Arthur's Age Puzzle","date":"December 10, 2016","format":false,"excerpt":"Once upon a time, long ago in an enchanted land, a young deer poacher was hauled before King Arthur by Cuthbert of Sodshire, the local sheriff, who threw down the slain deer on the stone slab floor before King Arthur\u2019s feet. \u201cLook Sire, as you can see, this strapping young\u2026","rel":"","context":"In &quot;Algebra&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":341,"url":"https:\/\/www.blogs.euni.org\/?p=341","url_meta":{"origin":436,"position":4},"title":"An Age Conundrum","date":"February 28, 2017","format":false,"excerpt":"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\u2026","rel":"","context":"In &quot;Ages&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":352,"url":"https:\/\/www.blogs.euni.org\/?p=352","url_meta":{"origin":436,"position":5},"title":"The Special Number","date":"March 23, 2017","format":false,"excerpt":"On a late June afternoon, Jill sat on the green grass by a small lake at the university with a concentrated look on her face.\u00a0Some ducks were quacking nearby. \u201cHi Jill, I see you are thinking about something, anything important?\u201d said Jack, who had quietly walked up to her on\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\/436"}],"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=436"}],"version-history":[{"count":1,"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=\/wp\/v2\/posts\/436\/revisions"}],"predecessor-version":[{"id":437,"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=\/wp\/v2\/posts\/436\/revisions\/437"}],"wp:attachment":[{"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=436"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=436"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=436"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}