Question

create an equation referring to the word problem:

The sum of four consecutive odd numbers is 80.Find the number

Answer 1

The sum of 4 consecutive odd number is 80 
Let X be the first of these numbers
Then the next odd number is X+2 
The third is X+4
The fourth is X+6 

All of these add up to 80
(X) + (X+2) + (X+4) + (X+6) = 80 

Using the commutative and associative laws, let's transform this equation into
(X + X + X + X) + (2 + 4 + 6) = 80
4X + 12 = 80 

Subtract 12 from both sides of the equation gives
4X = 68 

Divide both sides by 4 gives
X = 17 

Going back to the original question:
What are the 4 consecutive odd numbers: 17, 19, 21, 23 

Checking our answer:
17 + 19 + 21 + 23 = 80 Correct! 

Answer 2

Step-by-step explanation:

The sum of four consecutive odd numbers is 80.

So the numbers of 4 consecutive numbers is 17,19,21,23