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The LCM of two numbers is 20 times of their HCF and LCM + HCF = 2520. What will be the difference of LCM and HCF ?
Question

The LCM of two numbers is 20 times of their HCF and LCM + HCF = 2520. What will be the difference of LCM and HCF ?

A.

2420

B.

2380

C.

2320

D.

2280

Correct option is D

Let the HCF of the two numbers be x. Then, their LCM is 20x. From the given information, we have:
x + 20x = 2520
or, 21x = 2520
or, x = 120
Therefore, the difference between LCM and HCF is:
20x - x
= 19x
= 19 * 120
= 2280.

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