Question

The sum of two consecutive even integers is -34. what is the smaller integer

Answer 1

-16 + -18. Those are consecutive EVEN numbers so the smaller one would be your answer

Answer 2

The answer is -16 and -18

Explanation:

In order to determine the even integer numbers, we have to build two equations with the variables "x" and "y" represent to the numbers.

We know that the numbers are even and consecutive. Any even number has the expression:

`2n`

where "n" is any integer number.

if
`2n` is the first even number, so the second will be
`2n+2`.

In addition, we know that the sum of two even consecutive numbers is -34,

so:

`(2n)+(2n+2)=-34\\4n+2=-34\\4n=-34-2\\4n=-36\\n=-(36)/(4)\\n=-9`

Replacing
`n=-9`:

`2n=2*(-9)=-18\\\\2n+2=2*(-9)+2=-18+2=-16`

Finally, the two even consecutive numbers are -16 and -18.