Bag A contains 9 white and 8 black balls, while bag B contains 6 white and 4 black balls. One ball is randomly picked up from the bag B and mixed up…

Bag A contains $\displaystyle 9$ white and $\displaystyle 8$ black balls, while bag B contains $\displaystyle 6$ white and $\displaystyle 4$ black balls. One ball is randomly picked up from the bag B and mixed up with the balls in the bag A . Then a ball is randomly drawn from the bag A . If the probability, that the ball drawn is white, is $\displaystyle \frac{\mathrm{p}}{\mathrm{q}}, \operatorname{gcd}(\mathrm{p}, \mathrm{q})=1$, then $\displaystyle \mathrm{p}+\mathrm{q}$ is equal to