Question

The sum of three consecutive odd integers is -51. What are the integers.

Answer 1

So, let's imagine n to be our first odd number, the next one will be a non odd, so the other next will be, so, n + 2, the same to the next term, so, n + 4

n + (n + 2) + (n + 4) = -51

3n + 6 = -51

3n = -51 - 6

3n = -57

n = -19

The integers are -19, -17, -15

Answer 2

-18, -17, -16

Explanation:

Let the number be represented with Z, .i.e.

Let the number be represented with Z, .i.e Z., Z+1, Z+2

Let the number be represented with Z, .i.e Z., Z+1, Z+2

Z + (Z + 1) + (Z + 2) = -51

Z + Z + Z + 1 + 2 = -51

3Z + 3 = -51

3Z = -51 - 3

3Z = - 54

Z = -54/3

Z = -18

Hence the numbers are -18, -17, -16