Question

What three consecutive odd integers add up to -27?

Answer 1

Consecutive integers are separated by + 2.

2, 4, 6 are all 2 away.

1, 3, 5 are all 2 away

integer a = x

integer b = ( x ) + 2 = x + 2

integer c = ( x + 2 ) + 2 = x + 4

integer( a + b + c ) = - 27

x + ( x + 2 ) + ( x + 4 ) = - 27

Simplify.

3x + 6 = - 27

3x = - 33

x = -11

a = - 11

b = - 9

c = - 7

Also,

-11 + -9 + -7 = - 27

Answer 2

*consecutive odd/even integers* are separated by 2.