What 3 consecutive odd numbers total 270?

Answer 1

The sum of two odd numbers is even and the sum of an even number and an odd number is odd.

So the sum of three consecutive odd numbers is odd but 270 is even.

Ergo there are no three consecutive odd numbers that sum to 270.

Three consecutive numbers that sum to 270 are 89, 90, 91.

Three consecutive even numbers that sum to 270 are 88, 90, 92.

Answer 2

Since 270 is an even number, then three consecutive odd numbers cannot add to 270. ,because

Odd + odd = even (2 numbers_

Even + odd = odd ( plus a third number)

odd + odd = even (plus a fourth number)

even + odd = odd (plus a fifth number)

Notice from the table that the third odd number gives an odd answer; not an even answer.

e.g. three odd numbers 3,5, & 7.

3 + 5 = 8 (even)

8 + 7 = 15 ( odd)

et. seq.,