The average of 5 consecutive even numbers is 46. If the next 3 consecutive even numbers are added, what is the new average?
Show answer & explanation
Correct answer: B
Explanation
Given:
Average of 5 consecutive even numbers = 46
Consecutive numbers = a − 4, a − 2, a, a + 2, a + 4
Middle number = 46
Numbers = 42, 44, 46, 48, 50
Next 3 consecutive even numbers = 52, 54, 56
Total = 42 + 44 + 46 + 48 + 50 + 52 + 54 + 56 = 392
Total numbers = 8
New average = 392 / 8 = 49