the ratio between two numbers is 3 4 if each number..., Ratio & Proportion, General Mathematics

Question:The ratio between two numbers is `3 : 4`. If each number is increased by `6`, the ratio becomes `4 : 5`. The difference between the numbers  is :

A `1` 
B `3` 
C `6` 
D `8`

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+ AnswerC

+ ExplanationLet the numbers be `3x` and `4x`. Then,

`(3x + 6)/(4x + 6) = 4/5`

`iff 5(3x + 6) = 4(4x + 6)`

`iff x = 6`.

So, the numbers are `18` and `24`.

`:.` Difference between the numbers 

`=(24 - 18)`

`= 6`.

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