# Applications: Number problems and consecutive integers

Sum of 3 consecutive odd integers is -3, what are the integers?

Solution

A number is odd if it has the following format: 2n + 1

Let 2n + 1 be the first odd integer

Let 2n + 3 be the second odd integer

Let 2n + 5 be the third odd integer

Since the sum is equal to -3, we get the following equation:

2n + 1 + 2n + 3 + 2n + 5 = -3

2n + 2n + 2n + 1 + 3 + 5 = -3

6n + 9 = -3

6n + 9 - 9 = -3 - 9

6n + 0 = -12

6n = -12

Divide both sides by 6

6n / 6 = -12 / 6

n = -2

The first odd integer is 2n + 1 = 2 × -2 + 1 = -4 + 1 = -3

The second odd integer is 2n + 3 = 2 × -2 + 3 = -4 + 3 = -1

The third odd integer is 2n + 5 = 2 × -2 + 5 = -4 + 5 = 1

The 3 consecutive odd integers are -3, -1, and 1

Indeed -3 + -1 + 1 = -3 + 0 = -3

Algebra ebook

## Recent Articles

1. ### Average age word problem

Aug 09, 16 01:40 PM

Average age of Dipu and Apu is 22 years. Average age of Dipu and Tipu is 24 years. Age of Dipu is 21 years. What are the ages of Apu, and tipu ? Let