Question

If $\frac{1}{x}+y=2$ and $x+\frac{1}{y}=3$, then the ratio of $x$ to $y$ is

• A. $1:2$
• B. $2:3$
• C. $3:1$
• D. $3:2$
• E. $3:4$

Answer 1

The correct option is D $3:2$

Given, $\frac{1}{x}+y=2$ and $x+\frac{1}{y}=3$
$\Rightarrow \frac{1+xy}{x}=2$ ....(1)

$\Rightarrow \frac{1+xy}{y}=3$ .... (2)

Dividing both equations, we get
$\frac{x}{y}=\frac{3}{2}$