Correct Answer - Option 4 : 132, 66, 33
Given:
The average of three numbers = 77
First number = 2(Second number)
Second number = 2(Third number)
Formula Used:
Average = Sum of values/Number of values
Calculation:
Let the third number be x
Second number = 2x
First number = 2 × 2x = 4x
Sum of all three numbers = x + 2x + 4x = 7x
Average = 7x/3
⇒ 77 = 7x/3
⇒ 77 × 3 = 7x
⇒ 7x = 231
⇒ x = 231/7
⇒ x = 33
Third Number = x = 33
Second Number = 2x = 2 × 33 = 66
First Number = 4x = 4 × 33 = 132
∴ The three numbers are 132, 66, 33