If the average of three consecutive even numbers is 34, find the largest of these numbers.
Answer & explanation
Correct answer: option 4
Let the numbers be x, x + 2, x + 4
So, according to the question:
Average of the 3 consecutive numbers is: \(\frac{\text{x + x + 2 + x + 4} }{3 }\)
34 = \(\frac{\text{3x + 6} }{3 }\)
34 x 3 = 3x + 6
102 = 3x + 6
3x = 96
x = 32
So, the largest of these numbers is x + 4 = 36