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Popular Word Problems >

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

Solution

t h e s u m o f 5 co n sec u t i v e e v e n n u mb ers i s 200. Wha t i s t h e f i f t h n u mb er in t hi s se q u e n ce ?

Solution

The number : 44

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number 1 : x + 2

Consecutive number 2 : x + 4

Consecutive number 3 : x + 6

Consecutive number 4 : x + 8

A.T.Q.:

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

Solve

x + x + 2 + x + 4 + x + 6 + x + 8 = 200 : x = 36

x + 2 = 36 + 2 = 38

x + 4 = 36 + 4 = 40

x + 6 = 36 + 6 = 42

x + 8 = 36 + 8 = 44

The number : 44

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