Discussion Forum

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

Answer:

Explanation:

Let the numbers be $x$ and $(28-x)$. Then,
$x(28-x)=192 \Leftrightarrow x^{2}-28x+192=0$
$\Leftrightarrow (x-16)(x-12)=0$
$\Leftrightarrow x =16$ or $x=12$.