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Two numbers are in the ratio 3 : 5. Their LCM is 75. What is their HCF?
Question

Two numbers are in the ratio 3 : 5. Their LCM is 75. What is their HCF?

A.

15

B.

5

C.

4

D.

3

Correct option is B


Given:
Ratio of two numbers = 3:5
LCM of these number = 75
Solution:
Let the two number be 3x and 5x
As we know,
LCM of 3x and 5x = 15x
HCF of 3x and 5x = x
According to the question
15x = 75
⇒ x = 5

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