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The average of three consecutive odd numbers is 12 more than one third of the first of these numbers. What is the last of the three numbers ?
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- 15
- 17
- 19
- Data inadequate
- 15
Correct Option: C
If the smallest number be n,
then
| + 12 = n + 2 | |
| 3 |
⇒ n + 36 = 3n + 6
⇒ 3n – n = 36 – 6
⇒ 2n = 30 ⇒ n = 15
∴ Third number = n + 4 = 15 + 4 = 19
