White Balls, Black Balls

There are two bags AA and BB. Bag AA contains nn white balls and 22 black balls while bag BB contains 22 white balls and nn 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 AA being selected to draw the balls is 67\frac{6}{7}. Find the value of nn.

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