Question : The ratio between the two numbers is 3 : 4. If each number is increased by 6, the ratio becomes 4 : 5. What is the difference of the numbers?
Option 1: 1
Option 2: 3
Option 3: 6
Option 4: 8
Correct Answer: 6
Solution : Given: The ratio between the two numbers is 3 : 4. If each number is increased by 6, the ratio becomes 4 : 5. Let the numbers be $3x$ and $4x$. As per given conditions, ⇒ $\frac{3x+6}{4x+6}=\frac{4}{5}$ ⇒ $15x+30=16x+24$ $\therefore x = 6$ $\therefore$ Required difference $=4x-3x=x=6$ Hence, the correct answer is 6.
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