If x vartes directly as y, then x 12 6 y 48 __ - Vidyadip

Question

If $x$ vartes directly as $y,$ then

$x$	$12$	$6$
$y$	$48$	__

✓

Answer

$\frac{\text{x}}{\text{y}}=\text{k}$ (constant)
If $x = 12$ and $y = 48,$
then $\frac{\text{x}}{\text{y}}=\frac{12}{48}=\frac{1}{4}$
$\text{k}=\frac{1}{4}$ When $x = 6$
then from eq. $(i) \frac{6}{\text{y}}=\text{k}$
$ \frac{6}{\text{y}}=\frac{1}{4}$
$6\times 4=y\times 1$
$y=24$

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