The LCM and HCF of two numbers are 144 and 8 respectively. If one of the numbers is 16, find the other number.

Solution:
We use the relation:
$ \text{LCM} \times \text{HCF} = \text{Product of two numbers} $

Given:
LCM = 144, HCF = 8, one number = 16

So,
$ 144 \times 8 = 16 \times \text{other number} $

$ 1152 = 16 \times x $

$ x = \frac{1152}{16} = 72 $

✅ Final Answer: 72