SOLUTION: Find three consecutive even numbers whose sum is 1284. smaller number = middle number = larger number =

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Question 1202615: Find three consecutive even numbers whose sum is 1284.
smaller number =
middle number =
larger number =
Found 2 solutions by math_tutor2020, ikleyn:
Answer by math_tutor2020(3816) About Me  (Show Source):
You can put this solution on YOUR website!

Hint:
One equation to solve is
(x-2) + (x) + (x+2) = 1284
where,
x-2 = smaller number
x = middle number
x+2 = larger number

Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.
Find three consecutive even numbers whose sum is 1284.
smaller number =
middle number =
larger number =
~~~~~~~~~~~~~~~~~~ 


To find the middle number, divide 1284 by 3: you will get

    middle number = 1284%2F3 = 428.


Then the smaller number is 426 and the larger number is 430.


ANSWER. The numbers are 426, 428, 430.


                Explanation


Let x be the middle number.

Then the numbers are  (x-2), x and (x+2).


Adding them, we get  (x-2) + x + (x+2) = 3x.


It gives us an equation 

    3x = 1284,

which we used above to find the middle number.

Solved, with explanation.