The LCM of two numbers is 126 times their HCF. If their HCF is 7 and the difference between the two numbers is five times the HCF, then the product of the two numbers is:

Correct option is B

Given:
HCF = 7
LCM = 126 times the HCF
Difference between the two numbers = 5 × HCF = 5 × 7 = 35
Formula Used:
Product of two numbers = HCF × LCM
Solution:
LCM = 126 × HCF = 126 × 7 = 882
Product of two numbers = HCF × LCM
=> Product of two numbers = 7 × 882
=> Product of two numbers = 6174