How do you find 3 consecutive odd integers where the sum is -141?
See a solution process below:
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
The 3 consecutive odd integers summing to -141 are: -49, -47, -45
the three numbers are -49,-47 and -45
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.
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