Question

If $x\text{and}y$ are inversly related, then, find $l,m\text{and}n$.

$x$	8	4	$l$	16
$y$	8	$m$	32	$n$

• A. $m=4l=32n=16$
• B. $m=4l=2n=16$
• C. $m=2l=16n=4$
• D. $m=16l=2n=4$

Answer 1

The correct option is D $m=16l=2n=4$

Given,
$x\text{and}y\text{are inversly related}$.
$\therefore \frac{x_1}{x_2}=\frac{y_2}{y_1}$

$\left(i\right)$
Let,
$x_1=8$
$y_1=8$
$x_2=4$
$y_2=m$
$\Rightarrow 8\times 8=4\times m$
$\Rightarrow m=\frac{64}{4}=16$

$\left(ii\right)$
Let,
$x_1=8$
$y_1=8$
$x_2=l$
$y_2=32$
$\Rightarrow 8\times 8=l\times 32$
$\Rightarrow l=\frac{64}{32}=2$

$\left(iii\right)$
Let,
$x_1=8$
$y_1=8$
$x_2=16$
$y_2=n$
$\Rightarrow 8\times 8=16\times n$
$\Rightarrow l=\frac{64}{16}=4$