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Popular Word Problems >

find five consecutive even numbers whose sum is 30

Solution

find five consecutive even numbers whose sum is 30

Solution

The numbers : 2, 4, 6, 8, 10

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 = 30

Solve

x + x + 2 + x + 4 + x + 6 + x + 8 = 30 : x = 2

x + 2 = 2 + 2 = 4

x + 4 = 2 + 4 = 6

x + 6 = 2 + 6 = 8

x + 8 = 2 + 8 = 10

The numbers : 2, 4, 6, 8, 10

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