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Of the three numbers, the second is twice the first and it is also thrice the third. If the average of three numbers is 44, the difference of the first number and the third number is :
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- 24
- 18
- 12
- 6
Correct Option: C
Let the first number be x.
∴ Second number = 2x
| and third number = | |
| 3 |
| Now, x + 2x + | = 44 × 3 | |
| 3 |
| ⇒ | = 132 | |
| 3 |
⇒ 11x = 132 × 3
| ⇒ x = | = 36 | |
| 11 |
∴ Required difference
| = x − | = | = | = 12 | |||
| 3 | 3 | 3 |
