There are three bags A, B and C. In each bag there are three types of colored balls Yellow, Green and Black. In bag A, no. of yellow colored balls are...

There are three bags A, B and C. In each bag there are three types of colored balls Yellow, Green and Black. In bag A, no. of yellow colored balls are y and no. of green colored balls are g. Number of green colored balls are 4 more than the number of yellow colored balls. When one ball is picked at random then the probability of getting black color ball is 5 13 . The value of y is 18 2 11 % less then g. In bag B, number of yellow colored balls is 22 2 9 % more than that of bag A. If two balls are picked at random from bag B then the probability of getting both green color ball is 4 37 . Total number of balls in bag B is 75. In bag C, the ratio of number of green colored balls and number of black colored balls is 7 : 5. Total number of green and black colored balls is 36. If one ball is picked at random then the probability of getting one yellow ball is 7 13 .
If x yellow balls are transferred from bag B to bag A, and 20% of black balls from bag A are moved to bag B, then the probability of drawing a black ball from bag B becomes $\frac{11}{26}$. Find the value of x.