Question

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

x	4	8	2	32
y	4	l	m	n

Answer 1

Given:

x and y vary inversely, so:

x × y = k (constant).

Step 1: Use the first pair of values to find k:

For x = 4 and y = 4 

k = x × y = 4 × 4 = 16.

Step 2: Use k = 16 to find l, m, and n:

For x = 8 and y = l:

`l = k/x = 16/8 =2`

For x = 2 and y = m

`m = k/x = 16/2 =8`

For x = 32 and y = n

`n = k/x = 16/32 =0.5`