Question

Find the missing entries, if $x$ and $y$ vary inversely.

x	12	4	__	2	__
y	5	__	6	__	3

Answer 1

x	12	4	b	2	d
y	5	a	6	c	3

$x$ and $y$ vary inversely

$x=\frac{k}{y}$

$xy=$ constant

$x_1{y}_1=x_2{y}_2=x_3{y}_3=x_4{y}_4=x_5{y}_5$

$\Rightarrow 12\left(5\right)=4a=6b=2c=3d$

$\Rightarrow a=\frac{12\times 5}{4};b=\frac{12\times 5}{6};c=\frac{12\left(5\right)}{2};d=\frac{12\left(5\right)}{3}$

$\Rightarrow a=15;b=10;c=30;d=20$

x	12	4	10	2	20
y	5	15	6	30	3