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The average of three numbers is 27. The second is three times the first and the third number is five times the first. What is the sequence of the numbers?
1. 27, 9, 45
2. 9, 27, 45
3. 24, 8, 40
4. 8, 40, 24

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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

nd number = 3a = 3 × 9 = 27

3rd number = 5a = 5 × 9 = 45

Hence, ‘9, 27, 45’ is the correct answer.

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