Question

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

Answer 1

n + n + 1 = –49; n = –25; n + 1 = –24

Explanation:

Answer 2

n + n + 1 = –49; n = –25; n + 1 = –24

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