The product of two numbers is 192 and the sum of these two numbers is 28. What is the smaller of these two… · ABC26GN1691
Subject: General Aptitude · Chapter: Problems on Numbers
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
Answer (as printed): A
Explanation
Let the numbers be $x$ and $(28-x)$. Then, $x(28-x)=192 \Leftrightarrow x^{2}-28 x+192=0$$$\begin{aligned} & \Leftrightarrow(x-16)(x-12)=0 \\ & \Leftrightarrow x=16 \text { or } x=12 . \end{aligned}$$ So, the numbers are 16 and 12.
Explanation as extracted from the printed page; notation may be imperfect.