The sum of two consecutive integers is -247. What are the numbers?

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Answer 1 · 2016-04-28T04:42:55

The two numbers are $- 124$ $-124$ and $- 123$ $-123$

Two consecutive integers have a sum of -247

The consecutive integers can be expressed as

$x$ $x$
$x + 1$ $x+1$

The equation becomes

$x + x + 1 = - 247$ $x+x+1 = -247$

$2 x + 1 = - 247$ $2x+1=-247$

$2xcancel(+1)cancel(-1)=-247-1$

$2x = -248$

$(cancel2x)/cancel2 = -248/2$

$x=-124$

$x+1 = -124 +1 = -123$

The two numbers are $-124$ and $-123$