The sum of two consecutive even integers is -102. What are the two integers?

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The sum of two consecutive even integers is -102. What are the two integers?

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Answer 1 · 2016-11-08T12:51:53

$- 50$ $-50$ and $- 52$ $-52$

Explanation:

An even number can be generally expressed by $2 n$ $2n$ . So the sum of an even and its consecutive it's expressed by $2 n + 2 n + 2$ $2n+2n+2$ this must be equal to -102. So we have to solve the nearly trivial equation
$4 n + 2 = - 102$ $4n+2=-102$ that solved gives $n = - 26$ $n=-26$ . This means that the two numbers are
$2 \cdot (- 26) = - 52$ $2*(-26)=-52$ and
$2 \cdot (- 26) + 2 = - 50$ $2*(-26)+2=-50$

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The sum of two consecutive even integers is -102. What are the two integers?

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