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Four consecutive even integers have a sum of 36. What is the value of the greatest integer?

Solution

Four consecutive even integers have a sum of 36. What is the value of the greatest integer?

Solution

The largest number : 12

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 = 36

Solve

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

x + 2 = 6 + 2 = 8

x + 4 = 6 + 4 = 10

x + 6 = 6 + 6 = 12

Select the largest solution:

12

The largest number : 12

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