The average of a group of 8 consecutive even numbers is 41. What is the sum of the smallest and largest numbers in the group?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 82.
Let numbers are 2n, 2n + 2, …, 2n + 14
Average = (First + Last)/2 = (2n + 2n + 14)/2 = (4n + 14)/2 = 2n + 7
2n + 7 = 41
⇒ 2n = 34
⇒ n = 34/2 = 17
First number = 2n = 2(17) = 34
Last number = 2n + 14 = 2(17) + 14 = 34 + 14 = 48
Sum = 34 + 48 = 82