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The HCF of two numbers is 20 and their LCM is 400. If one of the numbers is 80, then the other number is:
Question

The HCF of two numbers is 20 and their LCM is 400. If one of the numbers is 80, then the other number is:

A.

80

B.

150

C.

120

D.

100

Correct option is D

Given:

HCF of two numbers = 20

LCM of two numbers = 400

One of the numbers = 80

Formula Used:

Product of two numbers = HCF × LCM

Solution:

Let the two numbers be 'a' and 'b'.

a × b = HCF × LCM

80 × b = 20 × 400

80 × b = 8000

b = 100

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