Question
In a box, the ratio of green balls to yellow balls is
3:5. If 9 balls of each colour are added, the new ratio becomes 6:9. Find the number of yellow balls in the box originally.Solution
ATQ,
Let the original number of green and yellow balls be ‘3x’ and ‘5x’, respectively. ATQ: (3x + 9)/(5x + 9) = 6/9 Or, 9 × (3x + 9) = 6 × (5x + 9) Or, 27x + 81 = 30x + 54 Or, 3x = 27 Or, x = 9 So, number of yellow balls in the box originally = 5 × 9 = 45
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