The LCM and HCF of two numbers is 2400 and 20, respectively. When we divide the first number by 8, the quotient 60. Then the second number is:

Correct option is D

Given:

LCM = 2400

HCF = 20

First number ÷ 8 = 60

Concept Used:

Product of numbers = LCM × HCF

Solution:

First number = 60 × 8 = 480

Let the second number be x

​$$480 \times x = 2400 \times 20$$​

​$$x = \frac{2400 \times 20}{480}$$​

​$$x = \frac{48000}{480} = 100$$​