Correct Answer - Option 2 : 28
Given:
Average of three consecutive even number = 14 + 1/2 × (first number)
Formula used:
Average = Total sum/Total number
Total sum = Average × Total number
Calculation:
Let three consecutive even numbers are x, x + 2 and x + 4
Average = [x + (x + 2) + (x + 4)] / 3 = (3x + 6) / 3 = x + 2
Accordingly,
x + 2 = 14 + (1/2)x
⇒ x + 2 = 14 + x/2
⇒ x + 2 = (28 + x)/2
⇒2(x + 2) = 28 + x
⇒ 2x + 4 = 28 + x
⇒ x = 24
The last number is (24 + 4) = 28
∴ The last number is 28.