Question

The difference between the two numbers is four and the AM between them is six. The product of number is

• A. $24$
• B. $12$
• C. $32$
• D. $48$

Answer 1

The correct option is C $32$

Let the two numbers be $a$ and $b$.
Given, $a-b=4$ ...(i)
$\therefore \frac{a+b}{2}=6\Rightarrow a+b=12$ ...(ii)
On adding (i) and (ii), we get
$2a=16\Rightarrow a=8$
from (ii), $b=12-a=12-8=4$
$\therefore ab=4\times 8=32$
Option C is correct.