Question

If $x:y=2:3$ and $2:x=1:2$, then the value of $y$ is _____.

• A. $\frac{1}{3}$
• B. $\frac{3}{2}$
• C. $6$
• D. $\frac{1}{2}$

Answer 1

The correct option is C $6$

Given,$\frac{2}{x}=\frac{1}{2}$

So, $x=4$

Also given $\frac{x}{y}=\frac{2}{3}$

$\Rightarrow 3\times x=2\times y$

$\Rightarrow 3\times \left(4\right)=2\times y$

$\Rightarrow y=6$