Two number are in the ratio of 2:3. If 9 (Nine) is added to each number, they will be in ratio 3:4. What is the product of the two numbers?
Solution
✅ Correct Option: 3
The numbers are in the ratio $2:3$, so take them as $2x$ and $3x$. Adding 9 to each: $\dfrac{2x+9}{3x+9}=\dfrac{3}{4}$ Cross multiply: $4(2x+9)=3(3x+9)$ $\Rightarrow 8x+36=9x+27$ $\Rightarrow x=9$ The numbers are $2x=18$ and $3x=27$. $\text{Product}=18\times27=486$