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​The LCM of two numbers is 96 and their HCF is 8. If one of the two numbers is 32, then what is the other number?​
Question

The LCM of two numbers is 96 and their HCF is 8. If one of the two numbers is 32, then what is the other number?

A.

28

B.

16

C.

48

D.

24

Correct option is D

Given:

LCM = 96

HCF = 8

One number = 32

Formula Used:

Second number=LCM×HCFFirst number\text{Second number} = \frac{\text{LCM} \times \text{HCF}}{\text{First number}}​​

Solution:

Substituting the given values:

Second number=96×832\text{Second number} = \frac{96 \times 8}{32} =24

Option (d) is right.

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