If x and y vary inversely, find the values of l, m and n :

x	y
4	4
8	l
2	m
32	n

Since it is a case of inverse variation,

$\therefore 4 \times 4 = 8 \times l = 2 \times m = 32 \times n\\[1em] \Rightarrow 16 = 8l = 2m = 32n\\[1em] \Rightarrow l = \dfrac{16}{8}, m = \dfrac{16}{2} \text{ and } n = \dfrac{16}{32}\\[1em] \Rightarrow l = 2, m = 8 \text{ and } n = 0.5$

Hence, l = 2, m = 8 and n = 0.5.