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 $x,y$.
It is given that:
x = 81
HCF = 27 and LCM = 162
We know, Product of two numbers = HCF $\times$ LCM
⇒ $x\times y$ = 27 $\times$ 162
⇒ 81 $\times$ $y$ = 4374
⇒ $y=\frac{4374}{81}$ = 54
Hence, the other number y is 54.