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In a bag the ratio of red balls to green balls is 15 : 26. If 12 more green balls are added to the bag the ratio of red balls to green balls will become 1 : 2. How many red balls are there in the bag?

In a bag the ratio of red balls to green balls is 15 : 26. If 12 more green balls are added to the bag the ratio of red balls to green balls will become 1 : 2. How many red balls are there in the bag? Correct Answer 45

Initially, ratio of red balls to green balls is 15 : 26.

Suppose red and green balls are 15x and 26x respectively.

12 more green balls are added, then ratio of red balls to green balls will become 1 : 2.

So,

15x : (26x + 12) = 1 : 2

⇒ 30x = 26x + 12

⇒ 4x = 12

⇒ x = 3

Hence, Number of red balls = 15x = 45

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