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The sum of 4 consecutive even integers is 228. What is the least of the 4 integers?

Solution

The sum of 4 consecutive even integers is 228. What is the least of the 4 integers?

Solution

The smallest number : 54

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 = 228

Solve

x + x + 2 + x + 4 + x + 6 = 228 : x = 54

x + 2 = 54 + 2 = 56

x + 4 = 54 + 4 = 58

x + 6 = 54 + 6 = 60

Select the smallest solution:

54

The smallest number : 54

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