1)

The sum of two numbers is 40 and their difference is 4. The ratio of the numbers is :


A) 11:9

B) 11:18

C) 21:19

D) 22:9

E) 22:19

Answer:

Option A

Explanation:

Let the numbers be $x$ and $y$. Then,
$\frac{x+y}{x-y}=\frac{40}{4}=10$
$\Leftrightarrow (x+y)=10(x-y)$
$\Leftrightarrow 9x = 11y \Leftrightarrow \frac{x}{y} = \frac {11}{9}$