Final answer:
The third number is 33, the second number is 66, and the first number is 132.
Therefore, the correct answer should be: option b) 132, 66, 33. (Avoiding typo error given in the option).
Step-by-step explanation:
Let's assume the third number is x.
So the second number is 2x, and the first number is 2 times the second number, which is 2 * 2x = 4x.
The average of the three numbers is 77.
So, (4x + 2x + x) / 3 = 77.
Simplifying the equation, we get:
7x / 3 = 77.
Multiplying both sides of the equation by 3, we get:
7x = 231.
Dividing both sides of the equation by 7, we get:
x = 33.
So the third number is 33, the second number is 2x = 2 * 33 = 66, and the first number is 4x = 4 * 33 = 132.