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If the sum of five consecutive even integers is 100, what is the smallest of the five integers?

Solution

If the sum of five consecutive even integers is 100, what is the smallest of the five integers?

Solution

The smallest number : 16

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 = 100

Solve

x + x + 2 + x + 4 + x + 6 + x + 8 = 100 : x = 16

x + 2 = 16 + 2 = 18

x + 4 = 16 + 4 = 20

x + 6 = 16 + 6 = 22

x + 8 = 16 + 8 = 24

Select the smallest solution:

16

The smallest number : 16

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