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Ann is two years older than Ben who is twice as old as Claire. If the total of the ages of Ann, Ben and Claire are 27, how old is Ben?

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If Claire is x years old, then Ben is 2x, and Ann is 2x+2. Consequently, x + 2x + 2x + 2 = 27; 5x + 2 = 27; x = 5. Ben is 2x y.o., so he is 10.

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