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

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answer is D.

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Detailed Solution

Given is a number 54, such that its LCM with another number is 162 and HCF is 27. We need to find the other number.
It is known that,
HCF × LCM = Product of the numbers.
Let us assume the other number to be x.
Then we have,

54 × x = 27 × 162 x = 27 × 162 54 x = 27 × 3 x = 81

So, the other number is 81.
Hence, the correct option is (4).

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