The sum of two consecutive integers is −13. What are the numbers?

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The sum of two consecutive integers is −13. What are the numbers?

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Answer 1 · 2016-05-05T10:07:44

$-7-6=-13$

Explanation:

$color(blue)("There are other ways of solving this but I have opted to demonstrate a")$
$color(blue)("method that can be used for other condition. For example:")$ $color(blue)("The sum of 3 consecutive odd numbers and the next even number is 71")$

$color(brown)(" 15, 17, 19 and 20" -> (n)+(n+2)+(n+4)+(n+5)=71)$
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Let the first number be $n$
Let the second number be $n+1$

Then $" "n+n+1=-13$

$2n+1=-13$

Subtract 1 from both sides

$2n=-13-1=-14$

Divide both sides by 2

$2/2xxn=-14/2$

But $2/2=1$

$n=-7$

So the second number is $" "-7+1=-6$

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The sum of two consecutive integers is −13. What are the numbers?

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