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Question

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

(a) 36 (b) 45 (e) 9 (f) 81

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Solution

Answer :

(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
⇒ 54y = 4374
⇒ y = 437454= 81


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