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A number is doubled and 9 is added. If the resultant is trebled it becomes 75. What is the number?

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A number is doubled and 9 is added. If the resultant is trebled it becomes 75. What is the number?
1. 12
2. 10
3. 8
4. 14
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Correct Answer - Option 3 : 8

Given:

Double of number + 9 = resultant

Thrice of resultant = 75

Calculation:

Let the number be x

⇒ 2x + 9 = resultant 

3(2x + 9) = 75

⇒ 6x + 27 = 75 

⇒ 6x = 75 – 27

⇒ 6x = 48

⇒ x = 48/6

⇒ x = 8

∴ The number is 8

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