The product of two numbers is 192 and the sum of these two numbers is 28. What is the smaller these two numbers ?

Answer: Option A

Let the numbers be x and (28 - x)
Then,
$$\begin{array}{rl}& \iff x\left(28-x\right)=192\\ & \iff x^2-28x+192=0\\ & \iff \left(x-16\right)\left(x-12\right)=0\\ & \iff x=16\text{ or }x=12\end{array}$$
So, the numbers are 16 and 12