The sum of the five consecutive even numbers is 2720. The sum of the third and fifth numbers is:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 1092.
Let the five consecutive even numbers be: x, (x + 2), (x + 4), (x + 6), and (x + 8)
⇒ x + (x + 2) + (x + 4) + (x + 6) + (x + 8) = 2720
⇒ 5x + 20 = 2720
⇒ 5x = 2750
⇒ x = 550
Now,
Third number = x + 4 = 550 + 4 = 554
Fifth number = x + 8 = 550 + 8 = 558
Now,
The sum of the third and fifth numbers = 554 + 548 = 1092
Thus,
Thus, the sum of the third and fifth numbers is 1092