Question:
The HCF of two numbers is 27 and their LCM is 162. If one of the number is 81, find the other.
Solution:
Let the two numbers be $x, y$.
It is given that:
x = 81
HCF = 27 and LCM = 162
We know, Product of two numbers $=\mathrm{HCF} \times \mathrm{LCM}$
$\Rightarrow \quad x \times y=27 \times 162$
$\Rightarrow \quad 81 \times y=4374$
$\Rightarrow \quad y=\frac{4374}{81}=54$
Hence, the other number y is 54.