Question : The HCF and LCM of two numbers are 9 and 126, respectively. Find the larger number, if the ratio between the numbers is 2 : 7.
Option 1: 42
Option 2: 63
Option 3: 77
Option 4: 21
Correct Answer: 63
Solution :
Let's denote the two numbers as
The product of the two numbers is equal to the product of their HCF and LCM:
⇒
Given,
HCF = 9 and the LCM = 126
⇒
⇒
⇒
⇒
Hence, the correct answer is 63.