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HCF and LCM of two numbers are 3 and 18 respectively. If one of them is 9, find the other number.
Question

HCF and LCM of two numbers are 3 and 18 respectively. If one of them is 9, find the other number.

A.

6

B.

9

C.

8

D.

3

Correct option is A

Given:

LCM of two numbers = 18

HCF of two numbers = 3

One of the numbers = 9

Formula Used:

The product of two numbers is equal to the product of their LCM and HCF.

Solution:

Let the two numbers be 'a' and 'b'. We are given that a = 9

Using the formula: a ×\times​ b = LCM×\timesHCF​

9×9 \timesb = 18 ×\times3

b =(18×3)9 \frac{(18\times 3) }{ 9}= 6

Therefore, the other number is 6

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