Question

8. The LCM of two numbers is 20 times of their
HCF and (LCM + HCF) = 2520. If one number is
480, what will be the triple of another number?
(a) 1200 (b) 1500 (c) 2100 (d) 1800​

Answer 1

Answer:

Correct Option: D

Let HCF = N

According to the question, LCM = 20N

Given that, HCF + LCM = 2520

⇒ N + 20N = 2520

⇒ N = 2520 / 21 = 120

Now, LCM = 20N = 20 x 120 = 2400

We know that,

1st number x 2nd number = HCF x LCM

⇒ 2nd number = (LCM x HCF) / (1st number)

= (120 x 2400) / 480 = 600

∴ Required answer = 600 x 3 = 1800

Step-by-step explanation:

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