SOLUTION: Ryan and his father share a birthday, so they share a cake. When Ryan was 6 his father said " since I am 30 I should get 30/36 of the cake, and you should get 6/36 or 1/6 of the ca
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Question 674722: Ryan and his father share a birthday, so they share a cake. When Ryan was 6 his father said " since I am 30 I should get 30/36 of the cake, and you should get 6/36 or 1/6 of the cake." Ryan said " so next year I would get 7/38 of the cake right?" His father answered "yes that's the idea. Every year we can split it according to our ages." What will Ryan's age be when he gets 1/3 of the cake? So I figured out rayan will be 24, his father will be 48, and there will be 72 total pieces of cake. I need to write an equation. Thanks for your help.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Not 72 pieces, 3 pieces. The boy gets 1 and the father gets 2. So when this happens the father will be twice as old as the boy. That happens 
years from now when the boy is 
years old and his father is 
years old.
Recalling that the father will be two times the boy's age years from now, write:
\ =\ 30\ +\ x)
Solve for , then calculate and
John
Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
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