A bag contains an assortment of blue and red balls. If two balls are drawn at random, the probability of drawing two red balls if five times the probability of drawing two blue balls. Furthermore, the probability of drawing one ball of each colour is six times the probability of drawing two blue balls. The number of red and blue balls in the bag is

Question : A bag contains an assortment of blue and red balls. If two balls are drawn at random, the probability of drawing two red balls if five times the probability of drawing two blue balls. Furthermore, the probability of drawing one ball of each colour is six times the probability of drawing two blue balls. The number of red and blue balls in the bag is