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

x	y
24	l
32	12
m	8
16	n

Since it is a case of inverse variation,

$\therefore 24 \times l = 32 \times 12 = m \times 8 = 16 \times n\\[1em] \Rightarrow 24l = 384 = 8m = 16n\\[1em] \Rightarrow l = \dfrac{384}{24}, m = \dfrac{384}{8} \text{ and } n = \dfrac{384}{16}\\[1em] \Rightarrow l = 16, m = 48 \text{ and } n = 24$

Hence, l = 16, m = 48 and n = 24.