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Question

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

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Solution

Let x,y be the two numbers
Given that
x=81
HCF=27 and LCM=162
We know that the product of two number=HCF×LCM
Implies that
x×y=27×162
81×y=4374
y=437481=54

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