Question #8f02c

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Question #8f02c

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Answer 1 · 2016-11-30T13:43:16

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

Explanation:

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

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

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

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

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

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

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

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

$3 x + 0 = 72$ $3x + 0 = 72$

$3 x = 72$ $3x = 72$

$\frac{3 x}{3} = \frac{72}{3}$ $(3x)/3 = 72/3$

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

$x = 24$

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

24, 26 and 28

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Question #8f02c

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