Question

the sum of four consecutive odd numbers is 504 find the numbers



solve it plz in rough copy plz ​

Answer 1

Answer:

The sum of an x number of odd numbers where x is even is x * the average.

For 1 + 3 + 5 + 7, its the same as (4) * ((3 + 5) / 2) or (4) * ((1 + 7) / 2) because the average is "symmetric" over the average (i.e. (1 + 7) / 2 = (3 + 5) / 2 = (-1 + 9) / 2

Because it's 4 odd numbers, the EVEN number between Odd number 2 and Odd number 3 = 504 / 4,

or 126.

So odd number 2 = 125, and odd 3 = 127.

Therefore its 123, 125, 127, 129