The average of nine consecutive integers is 54. The second largest of these numbers is:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 57.
Let the integers be: x, x + 1, x + 2, ..., x + 8
So, (x + x + 8)/2 = 54
⇒ (2x + 8)/2 = 54
⇒ 2x + 8 = 108
⇒ 2x = 100
⇒ x = 50
Second largest number = x + 7 = 50 + 7 = 57