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Eğitmen, aile üyeleri arasındaki yaş farkları, doğum yılları, evlilik tarihleri ve sinema filmlerine uygun yaş sınırları gibi konuları içeren çeşitli problemleri çözmektedir. 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Problemler genellikle iki veya daha fazla kişinin yaşları arasındaki ilişkileri, yaş farklarını, yaş ortalamalarını ve toplam yaşlarını bulmayı içermektedir. Eğitmen her problemi detaylı olarak açıklamakta, yaşların nasıl hesaplanacağını ve denklemlerin nasıl kurulacağını göstermektedir.","Eğitmen, yaş problemlerinde yaş farkının değişmediğini ve oran problemlerinde verilen sayıların katlarını almanın önemini vurgulamaktadır. Video, bir testin çözümünü içermekte ve eğitmen, bir sonraki testte görüşmek üzere veda etmektedir."]},"endTime":998,"title":"Yaş Problemleri Soru Çözümü","beginTime":0}],"fullResult":[{"index":0,"title":"Yaş Problemleri Soru Çözümleri","list":{"type":"unordered","items":["Buca, üç dört beş yayınlarında soru çözümlerine kaldığı yerden devam edecek.","İlk soruda Efe'nin yaşı 24, abisinin yaşı 30 olduğunda, Efe abisinin yaşına geldiğinde her ikisinin de 30 yaşında olacağı için 6 yıl daha büyümesi gerekiyor.","İkinci soruda üç kişinin yaşları toplamı 45 olduğunda, beş yıl sonra her biri 5 yaş büyüyecek ve toplam 15 yaş büyüyecek, bu nedenle yaşları toplamı 60'ya ulaşacak."]},"beginTime":0,"endTime":90,"href":"/video/preview/7032978980783688193?parent-reqid=1769508753019293-11604860721080099943-balancer-l7leveler-kubr-yp-sas-9-BAL&text=JZP345&t=0&ask_summarization=1"},{"index":1,"title":"Yaş Problemleri Soru Çözümleri","list":{"type":"unordered","items":["Üçüncü soruda 2017 yılında bir baba ve oğlunun yaşları toplamı 39 olduğunda, yaşları toplamı 45 olması için 3 yıl geçmesi gerekiyor, bu nedenle 2020 yılında yaşları toplamı 45 olacaktır.","Dördüncü soruda yaş problemlerinde yaş farkı hiçbir zaman değişmez, bu nedenle Tamer ve Harun'un 2020 yılındaki yaşları farkı, 2030 yılındaki yaşları farkıyla aynı olacaktır.","Beşinci soruda Yusuf'un yaşı Nihan'dan 8 yaş büyük olduğunda, Yusuf iki yıl önce doğmuş olsaydı ve Nihan iki yıl sonra doğmuş olsaydı, yaşları farkı 12 olur."]},"beginTime":90,"endTime":277,"href":"/video/preview/7032978980783688193?parent-reqid=1769508753019293-11604860721080099943-balancer-l7leveler-kubr-yp-sas-9-BAL&text=JZP345&t=90&ask_summarization=1"},{"index":2,"title":"Yaş Problemleri Soru Çözümleri","list":{"type":"unordered","items":["Altıncı soruda 2015'ten 2025'e kadar 10 yıl geçmiş olduğunda, Miray 2025 yılında 29 yaşında olduğuna göre, Nur aynı yıl 25 yaşındadır.","Yedinci soruda Sinem'in yaşının Emine'nin yaşına oranı 7/2 olduğunda, yaşları toplamı 36 olduğunda, yaşları farkı 20'dir.","Sekizinci soruda aralarında ikişer yaş olan üç kardeşin dört yıl önceki yaşları toplamı en küçüğünün bugünkü yaşının iki katına eşit olduğunda, en büyük kardeşin bugünkü yaşı 10'dur."]},"beginTime":277,"endTime":560,"href":"/video/preview/7032978980783688193?parent-reqid=1769508753019293-11604860721080099943-balancer-l7leveler-kubr-yp-sas-9-BAL&text=JZP345&t=277&ask_summarization=1"},{"index":3,"title":"Yaş Problemleri Soru Çözümleri","list":{"type":"unordered","items":["Dokuzuncu soruda Sami Osman'dan 3 yıl sonra doğmuş olduğunda, Osman iki yıl önce doğsaydı 20 yaşında olacaksa, şu anki yaşı 18, Sami'nin yaşı ise 15'tir."]},"beginTime":560,"endTime":620,"href":"/video/preview/7032978980783688193?parent-reqid=1769508753019293-11604860721080099943-balancer-l7leveler-kubr-yp-sas-9-BAL&text=JZP345&t=560&ask_summarization=1"},{"index":4,"title":"Yaş Ortalaması Problemi","list":{"type":"unordered","items":["Altı kişinin yaşları ortalaması 6 olduğuna göre, şu anki yaşları toplamı 36'dır.","İki yıl sonra her kişi 2 yaş büyüyeceği için, toplam 12 yaş büyüyecekler.","İki yıl sonraki yaşları toplamı, şu anki yaşları toplamına 12 eklenerek 48 olur."]},"beginTime":622,"endTime":694,"href":"/video/preview/7032978980783688193?parent-reqid=1769508753019293-11604860721080099943-balancer-l7leveler-kubr-yp-sas-9-BAL&text=JZP345&t=622&ask_summarization=1"},{"index":5,"title":"İki Kişinin Yaşları Farkı Problemi","list":{"type":"unordered","items":["İki arkadaşın 2001 yılında yaşları toplamı 32, 2007 yılında birinin yaşı 20 olduğuna göre, yaşları toplamı 44 olur.","2007 yılında birinin yaşı 20 olduğuna göre, diğerinin yaşı 24 olur.","İki kişinin yaşları farkı 4'tür."]},"beginTime":694,"endTime":772,"href":"/video/preview/7032978980783688193?parent-reqid=1769508753019293-11604860721080099943-balancer-l7leveler-kubr-yp-sas-9-BAL&text=JZP345&t=694&ask_summarization=1"},{"index":6,"title":"Baba-Oğul Yaş Problemi","list":{"type":"unordered","items":["Bir babanın yaşı oğlunun yaşının 7 katı olduğuna göre, oğlunun yaşı x ise babanın yaşı 7x olur.","Altı sene sonra babanın yaşı 7x+6, oğlunun yaşı x+6 olur.","Altı sene sonra yaşlar toplamı yaşlar farkının iki katı olduğuna göre, babanın bugünkü yaşı 21'dir."]},"beginTime":772,"endTime":866,"href":"/video/preview/7032978980783688193?parent-reqid=1769508753019293-11604860721080099943-balancer-l7leveler-kubr-yp-sas-9-BAL&text=JZP345&t=772&ask_summarization=1"},{"index":7,"title":"Ayşe Hanım ve Çocukları Problemi","list":{"type":"unordered","items":["Ayşe Hanım'ın en alttaki fotoğrafı çektiğinde yaşı ile en üstteki fotoğrafı çektiğindeki yaşının toplamı 80 olduğuna göre, 2002 yılında Ayşe Hanım 34 yaşındaydı.","Kerem'in doğum günleri arasında 12 yıl fark olduğu için, en üstteki fotoğraf 2014'te çekilmiş olur.","Mustafa doğduğunda Ayşe Hanım'ın yaşı 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Eğitmen, ÖSYM tadında yaş problemlerini adım adım çözmektedir.","Videoda toplam dokuz yaş problemi ele alınmaktadır. Problemler arasında emekli olma yaşı hesaplama, aile içindeki yaş farkları, kardeşlerin yaşları arasındaki ilişkiler ve doğum yılları arasındaki sayısal farklar gibi çeşitli konular yer almaktadır. Her problem için detaylı matematiksel işlemler ve denklemler gösterilmektedir.","Video, ÖSYM sınavlarına hazırlanan öğrenciler için yaş problemleri konusunda pratik yapmak isteyenler için faydalı olabilir. Çözülen problemler arasında iki kişinin doğum yılları ve yaşları arasındaki farklar kullanılarak denklem kurma, yaşları farklı dört kişinin yaşları arasındaki ilişkileri inceleme ve Elif ile Büşra arasındaki yaş farkını hesaplama gibi farklı türler bulunmaktadır."]},"endTime":1033,"title":"ÖSYM Tadında Yaş Problemleri Çözüm Dersi","beginTime":0}],"fullResult":[{"index":0,"title":"Yaş Problemleri ÖSYM Tadında Test","list":{"type":"unordered","items":["Ahmet Bey'in kızı, babasına emekli olmayı düşündüğünü sorduğunda, Ahmet Bey emekli olduğunda yaşı ile çalıştığı toplam yıl sayısının toplamının 102 olduğunu belirtmiştir.","Ahmet Bey bugün 50 yaşında ve 22 yıldır çalıştığına göre, 15 yıl sonra 65 yaşında emekli olacaktır."]},"beginTime":8,"endTime":99,"href":"/video/preview/11575150685632284253?parent-reqid=1769508753019293-11604860721080099943-balancer-l7leveler-kubr-yp-sas-9-BAL&text=JZP345&t=8&ask_summarization=1"},{"index":1,"title":"Aile Yaşları 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beş katıdır.","En küçük iki kişinin yaşları toplamı yaşları farkının üç katı, en büyük iki kişinin yaşları toplamı yaşları farkının onbir katıdır.","En küçüğü en az 19 yaşında olabilir, en büyüğü en az 48 yaşında olabilir ve en büyüğü en küçüğün yaşları farkı en az 23'tür."]},"beginTime":697,"endTime":923,"href":"/video/preview/11575150685632284253?parent-reqid=1769508753019293-11604860721080099943-balancer-l7leveler-kubr-yp-sas-9-BAL&text=JZP345&t=697&ask_summarization=1"},{"index":7,"title":"Elif ve Büşra Yaş Problemi","list":{"type":"unordered","items":["Elif 40 yaşında ve Büşra'nın bugünkü yaşına geldiğinde Elif 80-x yaşında olacaktır.","Elif, Büşra'nın bugünkü yaşının 3/2 katı kadar yaşında olacağını söylemiştir.","Büşra'nın yaşı 32 olarak bulunmuş ve Elif ile Büşra arasında 8 yaş fark 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TYT 2021 Matematik YAŞ Problemleri Orijinal Sorular-1 Çözümleri Sizlere faydalı olduğumu düşünüyorsanız desteğiniz için videoyu beğenmeyi ve abone olmayı unutmayın.. 👉 Her gün paylaşılan...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1653298/1e8b641e2e30e37c2f2117b0cc25ee50/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/NPfKOwEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"19","reqid":"1769508753019293-11604860721080099943-balancer-l7leveler-kubr-yp-sas-9-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1769508753019293-11604860721080099943-balancer-l7leveler-kubr-yp-sas-9-BAL&text=videoid:6745985055501547905","teaser":[{"list":{"type":"unordered","items":["Bu video, bir eğitmen tarafından sunulan matematik eğitim içeriğidir. Eğitmen, yaş problemlerini adım adım çözmektedir.","Videoda toplam dokuz farklı yaş problemi ele alınmaktadır. Problemler arasında kardeşlerin yaşları, aile üyeleri arasındaki yaş ilişkileri, doğum tarihleri ve yaş hesaplamaları gibi konular yer almaktadır. Her problem için eğitmen, denklemleri kurma, eşitsizlikleri çözme ve mantıksal çıkarımlar yapma yöntemlerini kullanarak detaylı açıklamalar yapmaktadır.","Video, matematik sınavlarına hazırlanan veya yaş problemlerini çözmeyi öğrenmek isteyen kişiler için faydalı bir kaynak niteliğindedir. Çözülen problemler arasında Ayşenur ve Büşra Nur arasındaki yaş farkı, anne-baba ve çocuk arasındaki yaş ilişkisi, Özlem ve Gizem arasındaki yaş farkı gibi çeşitli senaryolar bulunmaktadır."]},"endTime":1067,"title":"Yaş Problemleri Çözüm Videosu","beginTime":0}],"fullResult":[{"index":0,"title":"Yaş Problemleri Testi","list":{"type":"unordered","items":["Bir ailenin çocukları hakkında bilgiler verilmiştir: Erkek çocuklardan sadece birinin bir ablası, diğerlerinin iki ablası vardır.","Kız çocuklardan sadece birinin bir ablası vardır ve erkek çocuklardan birinin iki abisi vardır.","Ailedeki çocuk sayısı en az beştir ve en büyük kız çocuktur."]},"beginTime":9,"endTime":113,"href":"/video/preview/6745985055501547905?parent-reqid=1769508753019293-11604860721080099943-balancer-l7leveler-kubr-yp-sas-9-BAL&text=JZP345&t=9&ask_summarization=1"},{"index":1,"title":"Yaş Farkı Problemi","list":{"type":"unordered","items":["Ayşenur, Büşra'ya \"Ben senin şimdiki yaşındayken dört basamaklı bir sayı\" demiştir.","Büşra, \"Sen benim şimdiki yaşıma geldiğinde\" demiştir.","İki ifade taraf tarafa toplanarak t yılı 1988 olarak bulunmuştur."]},"beginTime":113,"endTime":238,"href":"/video/preview/6745985055501547905?parent-reqid=1769508753019293-11604860721080099943-balancer-l7leveler-kubr-yp-sas-9-BAL&text=JZP345&t=113&ask_summarization=1"},{"index":2,"title":"Anne-Baba ve Çocuk Yaşları","list":{"type":"unordered","items":["Anne ve babanın yaşları toplamı p iken çocuk yeni doğmuş.","Çocuk p yaşına geldiğinde, anne ve babanın yaşları toplamı 3p olmuştur.","Çocuk ve anne-babasının yaşları toplamı 4b olmalıdır ve 142 sayısı 4p'nin katı olamaz."]},"beginTime":238,"endTime":280,"href":"/video/preview/6745985055501547905?parent-reqid=1769508753019293-11604860721080099943-balancer-l7leveler-kubr-yp-sas-9-BAL&text=JZP345&t=238&ask_summarization=1"},{"index":3,"title":"İkizlerin Yaşları","list":{"type":"unordered","items":["Özlem, \"Eğer ben y yıl erken doğsaydım aramızdaki yaş farkı iki z olur\" demiştir.","Gizem, \"Ben z yaşındayken sen yeni doğmuş\" demiştir.","x/y oranı 1/2 olarak bulunmuştur."]},"beginTime":280,"endTime":381,"href":"/video/preview/6745985055501547905?parent-reqid=1769508753019293-11604860721080099943-balancer-l7leveler-kubr-yp-sas-9-BAL&text=JZP345&t=280&ask_summarization=1"},{"index":4,"title":"Yaş Problemi Çözümü","list":{"type":"unordered","items":["Bir çocuğun doğmadan önce anne ve babanın yaşları toplamı a, çocuğun doğduğunda ise b olarak verilmiştir.","X kadar yıl geçtikten sonra ilk çocuk x yaşında olurken, anne ve babanın yaşları toplamı b+3x olur.","Küçük çocuğun ilk çocuğun doğduğu yıldaki yaşına geldiğinde, ilk çocuğun yaşı 2b-2a/3 olur."]},"beginTime":385,"endTime":478,"href":"/video/preview/6745985055501547905?parent-reqid=1769508753019293-11604860721080099943-balancer-l7leveler-kubr-yp-sas-9-BAL&text=JZP345&t=385&ask_summarization=1"},{"index":5,"title":"Yaş Sıralama Problemi","list":{"type":"unordered","items":["K1, K2, K3, K4, K5, K6 ve K7 isimli kişilerin yaşları karşılaştırılmaktadır.","Yaş sıralaması: K4 en büyük, K1 ve K7 en küçük, K2, K3, K4, K6 yaş sıralaması içinde yer almaktadır.","Yaş sıralaması sonucunda \"Yaşayan en büyük olan K4'tür\" ve \"K1'den küçük beş kişi vardır\" ifadeleri kesinlikle doğrudur."]},"beginTime":478,"endTime":681,"href":"/video/preview/6745985055501547905?parent-reqid=1769508753019293-11604860721080099943-balancer-l7leveler-kubr-yp-sas-9-BAL&text=JZP345&t=478&ask_summarization=1"},{"index":6,"title":"Üç Kişilik Yaş Grubu Problemi","list":{"type":"unordered","items":["Yaşları farklı olan üç kişilik bir grupta herhangi iki kişinin yaşları toplamı 24 ile 60 arasında değer almaktadır.","En büyük olanın yaşı (z) diğer ikisinin yaşlarının pozitif farkından 10 fazladır.","Ortancanın yaşı en az 16 olabilir, ancak en çok 39 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