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Four consecutive even integers sum to-20. What is the greatest of the 4 integers?

Solution

Four consecutive even integers sum to -20. What is the greatest of the 4 integers?

Solution

The largest number : - 2

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 = - 20

Solve

x + x + 2 + x + 4 + x + 6 = - 20 : x = - 8

x + 2 = - 8 + 2 = - 6

x + 4 = - 8 + 4 = - 4

x + 6 = - 8 + 6 = - 2

Select the largest solution:

- 2

The largest number : - 2

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