The sum of two consecutive integers is - 49. write an equation that models this situation and 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 + n + 1 = - 49; n = - 24; n + 1 = - 23

n + 2n = - 49; n = - 17; 2n = - 34

n + n + 1 = - 49; n = - 25; n + 1 = - 24

Step-by-step explanation:

Given that the sum of 2 consecutive numbers is - 49, it means that if the difference between the first and second number is 1 and the addition of the two numbers is - 49.

Hence if one of the numbers is n, the second will be n + 1, the addition of the two numbers will therefore be

n + n + 1 = - 49

Simplifying this,

2n + 1 = - 49

collect like terms

2n = - 49 - 1

2n = - 50

Divide both sides by 2

n = - 50/2

n = - 25

Hence n + 1 = - 25 + 1

= - 24