Mathematics: The sum of two consecutive integers is –49. write an equation that models this situation and find the values of the two integers. n + n + 1 = –49; n = –25; n + 1 = –24 n + n + 1 = –49; n = –25; n + 1 = –26 n + 2n = –49; n = –17; 2n = –34 n + n + 1 = –49; n = –24; n + 1 = –23

The sum of two consecutive integers is –49. write

lily3937

11.03.2022

The correct option is: n + n + 1 = -49; n = -25; n + 1 = -24

Step-by-step explanation:

Suppose, the first integer is

As the two integers are consecutive, so the second integer will be: n+1

Given that, the sum of two integers is -49.

So, the equation will be.........

$n+(n+1)= -49\\ \\\Rightarrow 2n+1=-49\\ \\ \Rightarrow 2n=-50\\ \\ \Rightarrow n=\frac{-50}{2}=-25$

Thus, the first integer is, n= -25 and the second integer is, n+1= -25+1= -24

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