The sum of two consecutive integers is - 49. Write an equation that models the situation and find the values of the two integers.

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

B. n + n + 1 = - 49; n = - 25; n + 1 = - 26

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

D. n + n + 1 = - 49; n = - 25; n + 1 = - 23

Question

Mathematics

Saniya Riddle

21 January, 17:40

The sum of two consecutive integers is - 49. Write an equation that models the situation and find the values of the two integers.

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

B. n + n + 1 = - 49; n = - 25; n + 1 = - 26

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

D. n + n + 1 = - 49; n = - 25; n + 1 = - 23

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Answers (1)

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Isabela Stuart · Answer 1

2 consecutive numbers would be n + (n+1)

so you have n + n+1 = - 49

combine like terms 2n + 1 = - 49

subtract 1 from each side:

2n = - 50

divide both sides by 2

n = - 25

n = - 25

then the second number would be - 25 + 1, which = - 24

so the answer is:

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

The sum of two consecutive integers is - 49. Write an equation that models the situation and find the values of the two integers.A. n + 2n = - 49; n = - 17; 2n = - 34B. n + n + 1 = - 49; n = - 25; n + 1 = - 26C. n + n + 1 = - 49; n = - 25; n + 1 = - 24D. n + n + 1 = - 49; n = - 25; n + 1 = - 23