Answer:
79
Explanation:
You want the smallest of 6 consecutive odd integers that have a sum of 504.
Average
The average of the integers will be the even integer between the middle two odd integers. The smallest odd integer is 5 less than this average.
The average is the sum divided by the number of integers:
504/6 = 84
The smallest of the 6 integers is 84 -5 = 79.
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Additional comment
The integers are 79, 81, 83, 85, 87, 89.
Consecutive integer problems are often easily worked by considering the average of the integers, as here.
If you feel like you need an equation, you can let x represent the smallest. Then the sum is ...
x +(x+2) +(x+4) +(x+6) +(x+8) +(x+10) = 6x +30 = 504
6x = 474 ⇒ x = 474/6 = 79