If 24 is the LCM of two numbers and the numbers are in the ratio of 1 : 2, then the product of the two numbers is:

Correct option is D

Given:
LCM of two numbers = 24
Ratio of the two numbers = 1 : 2
Concept Used:
LCM $$\times$$​ HCF = Product of the two numbers.
Solution:
Let the two numbers be x and 2x, as they are in the ratio 1 : 2.
Find the LCM of x and 2x:
The LCM of x and 2x is 2x.
Equate the LCM to the given value:
2x = 24
x = 12
Find the two numbers:
First number = x = 12
Second number = 2x = 2$$\times$$12 = 24​
Find the product of the two numbers:
Product = 12 $$\times$$ 24 = 288​
Therefore, the product of the two numbers is 288.