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Find three consecutive odd numbers whose sum is 2067.

Solution

Find three consecutive odd numbers whose sum is 2067.

Solution

The numbers : 687, 689, 691

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number 1 : x + 2

Consecutive number 2 : x + 4

A.T.Q.:

x + x + 2 + x + 4 = 2067

Solve

x + x + 2 + x + 4 = 2067 : x = 687

x + 2 = 687 + 2 = 689

x + 4 = 687 + 4 = 691

The numbers : 687, 689, 691

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