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

The correct option is D 81

Let the two numbers be x and y.
It is given that:
$x=54HCF=27LCM=162$

We know that,
$x\times y=HCF\times LCM\Rightarrow 54\times y=27\times 162\Rightarrow 54y=4374\Rightarrow y=\frac{4374}{54}=81$