SOLUTION: Find three consecutive even numbers whose sum is 1368. small number = middle number = larger number =

Question 1202401: Find three consecutive even numbers whose sum is 1368.
small number =
middle number =
larger number =
Answer by ikleyn(52780) (Show Source): You can put this solution on YOUR website!
.


Let x be the number in the middle.

Then two other numbers are (x-2) and (x+2).


The sum of the three numbers is 

    (x-2) + x + (x+2) = 1368,

or

    3x = 1368

     x = 1368/3 = 456.


ANSWER.  The numbers are 454, 456 and 458.

Solved.

----------------

In the future, if you have such problem with different sum, simply divide
the sum by 3: it will give you the middle number.

This simple trick works ALWAYS, saving your time.

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To see many other similar solved problems, look into the lesson
- Problems with consecutive integer numbers; odd/even consecutive integer numbers
in this site.

Learn the entire subject from there.

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