The ratio of two numbers is 7: 11 and their LCM is 462. What is the difference between these two numbers?

Correct option is A

Let the two numbers be 7x and 11x.
Since 7 and 11 are prime numbers, the LCM of 7x and 11x is 77x.
77x = 462
x = 6
7x = 7 × 6 = 42
11x = 11×  6 = 66
Difference between the two numbers:
66 - 42 = 24