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AMC 12 2015a Problem 6

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Two years ago Pete was three times as old as his cousin Claire. Two years before that, Pete was four times as old as Claire. In how many years will the ratio of their ages be 2:12 : 1?

\textbf{(A)}\ 2 \textbf{(B)}\ 4 \textbf{(C)}\ 5 \textbf{(D)}\ 6 \textbf{(E)}\ 8

Dataset text AMC 12 2000 to 2025. Quoted with source.

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B

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