SOLUTION: The sum of 4 consecutive odd nos is 80.find d nos

Question 571976: The sum of 4 consecutive odd nos is 80.find d nos
Answer by mathsmiles(68) (Show Source): You can put this solution on YOUR website!
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!
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