Question

The HCF of two numbers is 27 and their LCM is 162. If one of the numbers is 54, what is the other number?

(a) 36 (b) 45 (c) 9 (d) 81

Answer 1

(d) 81

Let the two numbers be x and y.

It is given that: x = 54

HCF = 27

LCM = 162

We know,

x × y = HCF × LCM

⇒ 54 × y = 27 × 162

⇒ 54 y = 4374

⇒ ∴ y = 4374/54

= 81