The average of 9 consecutive numbers is 20. The smallest of these numbers is:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 16.
Explanation:
Let the nine numbers be x , x + 1, x + 2, x + 3, x + 4, x + 5, x + 6, x + 7 and x + 8
Average of these 9 consecutive numbers = 20
The sum of these numbers = 20 × 9 = 180
So, x + x + 1 + x + 2 + x + 3 + x + 4 + x + 5 + x + 6 + x + 7 + x + 8 = 180
⇒ 9x + 36 = 180
⇒ 9x = 144
⇒ x = 16
Thus, the smallest of these numbers is 16.