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The sum of 4 consecutive even integers is 76. What is the value of the least integer?

Solution

The sum of 4 consecutive even integers is 76. What is the value of the least integer?

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

A.T.Q.:

x + x + 2 + x + 4 + x + 6 = 76

Solve

x + x + 2 + x + 4 + x + 6 = 76 : x = 16

x + 2 = 16 + 2 = 18

x + 4 = 16 + 4 = 20

x + 6 = 16 + 6 = 22

Select the smallest solution:

16

The smallest number : 16

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