Discussion Forum



1)

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


A) 12

B) 14

C) 16

D) 18

E) None of these

Answer:

Option A

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 $x=12$.