White Balls, Black Balls

There are two bags \(A\) and \(B\). Bag \(A\) contains \(n\) white balls and \(2\) black balls while bag \(B\) contains \(2\) white balls and \(n\) black balls . One of the two bags is selected at random and two balls are drawn from it without replacement . We know that if both the balls drawn are white balls, the probability of bag \(A\) being selected to draw the balls is \(\frac{6}{7}\). Find the value of \(n\).

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