in a bag of red and blue balls the number of Blue Balls is 2 more than

1.	in a bag of red and blue balls the number of Blue Balls is 2 more than the red balls how many red balls are there in the bag if the total number of balls are 40 please give my answer in full solution
Answer» Let , the BAG contains B number of blue balls. So, there are 5 red balls and B blue balls. Total number of balls=B+5 Now drawing a red ball from B+5 balls can be done in 5C1 ways and drawing a blue ball from B+5 balls can be done in BC1 ways. now , probability of drawing red ball= 5C1/(B+5)C1 probability of drawing blue ball= BC1/(B+5)C1 Given , BC1/(B+5)C1 = 25C1/(B+5)C1 therefore B=25 =10

in a bag of red and blue balls the number of Blue Balls is 2 more than the red balls how many red balls are there in the bag if the total number of balls are 40 please give my answer in full solution

Answer»

Let , the BAG contains B number of blue balls.

So, there are 5 red balls and B blue balls.

Total number of balls=B+5

Now drawing a red ball from B+5 balls can be done in 5C1 ways and drawing a blue ball from B+5 balls can be done in BC1 ways.

now , probability of drawing red ball= 5C1/(B+5)C1

probability of drawing blue ball= BC1/(B+5)C1

Given , BC1/(B+5)C1 = 2*5C1/(B+5)C1

therefore B=2*5 =10