Question

Find four consecutive odd numbers with a sum of 80. How do you do that?

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

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

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

Thank you :)