Question

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

Answer 1

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

Answer 2

$<b><i>$ Let the five consecutive numbers be x, x + 2, x + 4, x + 6 and x + 8



A/q,

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

5x + 20 = 200

5x = 200 - 20

5x = 180

x = $\frac{180}{5}$

x = 36



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





$\therefore{}$ The fifth number is 44