create an equation referring to the word problem:
The sum of four consecutive odd numbers is 80.Find the number
The sum of four consecutive odd numbers is 80.Find the number
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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!
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