Question

The HCF of two numbers is 27 and their LCM is 162. If one of the number is 81, find the other.

Answer 1

Let the two numbers be x and y 

It is given that: 

x = 81 

HCF = 27 and LCM = 162 

We know, Product of two numbers = HCF × LCM 

⇒ x × y = 27 × 162 

⇒ 81 × y = 4374

⇒ y = \(\frac{4374}{81}\) = 54

Hence, the other number is y is 54.