Correct Answer - Option 2 : 9, 27, 45
Average of three numbers is 27
So, the sum of the three numbers = (27 × 3)
= 81
Let the first number be ‘a’.
The second is three times the first.
So, 2nd number = 3a
The third number is five times the first.
So, 3rd number = 5a
According to question:
(a + 3a + 5a) / 3 = 27
9a = 27 × 3
a = 81 ÷ 9
a = 9
∴ 1st number = a = 9
2 nd number = 3a = 3 × 9 = 27
3rd number = 5a = 5 × 9 = 45
Hence, ‘9, 27, 45’ is the correct answer.