The average of 8 consecutive even natural numbers is 57. These numbers are in ascending order. What is the value of the third number?
Show answer & explanation
Correct answer: B
Explanation
Given:
Average of 8 consecutive even numbers = 57
According to the formula:
Average = (First number + Last number) ÷ 2
Let the numbers be:
x, x+2, x+4, x+6, x+8, x+10, x+12, x+14
Average = (x + x+14) ÷ 2 = 57
(2x + 14) ÷ 2 = 57
x + 7 = 57
x = 50
Third number = x + 4 = 50 + 4 = 54