Two numbers are in the ratio 3 : 5. If 6 is added to both of them, the ratio becomes 2 : 3. The numbers are = ?

Answer: Option D

Let numbers are = 3x and 5x
∴ According to question,
$$\begin{array}{rl}& \Rightarrow \frac{3x+6}{5x+6}=\frac{2}{3}\\ & \Rightarrow 9x+18=10x+12\\ & \Rightarrow x=6\\ & \text{So, numbers are }\\ & 3x=3\times 6=18\\ & 5x=5\times 6=30\end{array}$$