Study the following information carefully and answer the question. Given: I. Bag X contains a total of 30 balls which are either red or green. The pro...

Study the following information carefully and answer the question.

Given:

I. Bag X contains a total of 30 balls which are either red or green. The probability of selecting one red and one green ball from the bag is given as $\frac{40}{87}$. The number of red balls in the bag is denoted as A.

II. A certain number of green balls (say b) are taken out, painted red, and then placed back into Bag X.

III. After this, the probability of selecting two green balls from Bag X is $\frac{7}{29}$.

IV. All balls from Bag X are transferred to Bag Y. Then, c green balls are withdrawn from Bag Y, and $(c-5)$ red balls are added to Bag Y. The probability of selecting two red balls from Bag Y is $\frac{2}{5}$.

Question: What is the value of A (the number of red balls in Bag X)?