2005 Fermat Problem 14

The weight of a lioness is six times the weight of her female cub and four times the weight of her male cub. If the difference between the weights of the male and female cub is 14 kg, the weight of the lioness, in kg, is

\textbf{(A)}\ 84\quad \textbf{(B)}\ 252\quad \textbf{(C)}\ 168\quad \textbf{(D)}\ 140\quad \textbf{(E)}\ 112

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