# How do you find 3 consecutive odd integers where the sum is -141?

##### 2 Answers

See a solution process below:

#### Explanation:

Let's call the first odd integer:

Then the next two consecutive odd integers will be:

We can then write this equation and solve for

Therefore:

The 3 consecutive odd integers summing to -141 are: **-49, -47, -45**

Solution Check:

the three numbers are -49,-47 and -45

#### Explanation:

Let the first odd number be

Then, the consecutive odd number is

The last consecutive odd number is

Why do we add 2 to each odd number?

Well, think of any three consecutive odd numbers.

135,137,139

186395,186397,186399

From the above, you can see that when you minus 2 consecutive numbers, you will always get a difference of 2

Since their sum equals to

Therefore, your first odd number is -49

Your second number is

Your third number is

Now, just to make sure you are right, add the numbers together