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Given that A and B can do a piece of work in 6 days.
Work done by A and B in 1 - day = (1/6).
Given that B alone can do the same work in 9 days.
Work done by B in 1- day = (1/9).
So,
Work done by A in 1-day = (1/6) - (1/9)
= > (3 - 2)/18
= > 1/18.
Therefore, A can complete the work in 18 days.
Hope this helps!
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