1)

Two numbers differ by 5. If their product is 336, then the sum of the two numbers is :


A) 21

B) 28

C) 37

D) 51

E) 56

Answer:

Option C

Explanation:

Let the numbers be $x$ and $y$. Then, $x-y=5$ and $xy=336$.
$(x+y)^{2}=(x-y)^{2}+4xy$
$=25+4 \times 336 = 1369$
$\Rightarrow x+y = \sqrt{1369} = 37$.