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$A$ can do a piece of work in $14$ days which $B$ can do in $21$ days. They begin together but $3$ days before the completion of the work, $A$ leaves off. The total number of days to complete the work is :

1. $\frac{33}{5}$
2. $8\frac{1}{2}$
3. $\frac{51}{5}$
4. $13\frac{1}{2}$

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