Question

What is the sum of two numbers whose difference is $45$ and the quotient of the greater number by the lesser number is $4$?

• A. $100$
• B. $90$
• C. $80$
• D. $75$

Answer 1

Answer: (D)

$75$

$x-y=45$ and $\frac{x}{y}=4$

$x-y=45$ and $x=4y$

$\Rightarrow 4y-y=45$

$\Rightarrow y=15$
$\Rightarrow x=60,y=15$
$\therefore Sum=60+15=75$