Question

The sum of 5 consecutive even numbers is 200. What is the fifth number in this sequence?

Answer 1

Answer:

Step-by-step explanation:

Define x:

Let the first number be x

The other 4 numbers are (x + 2), (x + 4), (x + 6) and (x + 8)

Solve x:

x + (x + 2) + (x + 4) + (x + 6) + (x + 8) = 200

x + x + 2 + x + 4 + x + 6 + x + 8 = 200

5x + 20 = 200

5x = 180

x = 36

Find the the 5th number:

5th number = x + 8 = 36 + 8 = 44

Answer: The 5th number is 44

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Answer 2

Answer:

Step-by-step explanation:

Let the numbers be       x, x + 2, x +4, x + 6, x + 8

hence,

x + x + 2 + x + 4 + x + 6 + x + 8 = 200

5x = 200 - 20 = 180

x = 36

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

The 5th number in the sequence is 44