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Answer 1 · 2016-11-30T13:43:16

The three consecutive even numbers adding to 78 are: 24, 26 and 28

Let's call the first number we are looking for $x$ .

Then because these are consecutive even numbers we need to add $2$ and $4$ to $x$ to get the second and third even numbers or $x + 2$ and $x + 4$ .

We know these three numbers when added equal 78 so we can write and solve for $x$ :

$x + (x + 2) + (x + 4) = 78$

$x + x + 2 + x + 4 = 78$

$x + x + x + 2 + 4 = 78$

$3x + 6 = 78$

$3x + 6 - 6 = 78 - 6$

$3x + 0 = 72$

$3x = 72$

$(3x)/3 = 72/3$

$(cancel(3)x)/cancel(3) = 24$

$x = 24$

Then adding $2$ and $4$ to this gives:

24, 26 and 28