A bag kept some green balls some blue balls and seven red balls Probability of picking one green bal...........

Quantitative Aptitude(IBPS PO) Probability

A bag kept some green balls, some blue balls and seven red balls. Probability of picking one green ball is 17 more than that of picking one red ball from the bag and probability of picking one blue ball is 935 more than that of picking one red ball from the bag. Find total number of blue balls in the bag?

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Explanation:

Let total number of ball bag kept = X
And, total number of green balls bag kept = a
While total blue balls bag kept = b
ATQ –
a/x−7/x=1/7 --------- (i)
And,b/x−7/x=9/35 ----------- (ii)
From equation (ii) we can say the value of X should be multiple of 35
So, let X = 35
Now when we take X = 35, so both equations satisfied by it and we get a = 12 & b = 16
So, total blue balls bag kept = 16