Tricia is a third of Amilia’s age and Amilia is a quarter of Yorick’s age. Yorick is twice Eugene’s age and Khloe is a third of Eugene’s age. Rupert is 10 years older than Khloe but 2 years younger than Vincent who is 22 years old. How old, in years, is Tricia? Let's think step by step and output the final answer after "####".
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Rupert is younger than Vincent by 2 years, so he is 22 years old – 2 years = <<22-2=20>>20 years old.
Khloe is 10 years younger than Rupert so she is 20 years old – 10 years = 10 years old.
Eugene is 3 times older than Khloe so he is 10 years old * 3 = <<10*3=30>>30 years old.
Yorick is twice Eugene’s age so he is 30 years old * 2 = <<30*2=60>>60 years old.
Amilia is a quarter of Yorick’s age so she is 60 years old / 4 = <<60/4=15>>15 years old.
Tricia is a third of Amilia’s age so she is 15 years old / 3 = <<15/3=5>>5 years old.
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Tricia is a third of Amilia’s age and Amilia is a quarter of Yorick’s age. Yorick is twice Eugene’s age and Khloe is a third of Eugene’s age. Rupert is 10 years older than Khloe but 2 years younger than Vincent who is 22 years old. How old, in years, is Tricia?
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