Question

The sum of 5 consecutive even numbers is 200

Answer 1

36, 38, 40, 42, 44

Explanation:

We can denote an even number as 2n (where n is a natural number).

Each consecutive even number will be 2 more than the previous number.

Let 1st number = 2n

⇒ 2nd number = 2n + 2

⇒ 3rd number = 2n + 4

⇒ 4th number = 2n + 6

⇒ 5th number = 2n + 8

Sum of all 5 numbers is 200.

⇒ 2n + 2n + 2 + 2n + 4 + 2n + 6 + 2n + 8 = 200

⇒ 10n + 20 = 200

⇒ 10n = 180

⇒ n = 18

If n = 18, then 2n = 36

Therefore, the numbers are 36, 38, 40, 42, 44