The sum of three consecutive odd integers is 363 what are the numbers?

Answer 1

Well, hot diggity dog! Let's break it down like a boss. If the sum of three consecutive odd integers is 363, then the middle number must be 121. Why? Because 121 is one-third of 363. So, the numbers are 119, 121, and 123. Bingo bango!

Answer 2

The sum of three consecutive odd integers, starting with N, is expressed as N + (N+2) + (N+4). If that sum is 363, then you have 3N + 6 = 363. Solve for N and you have 119.
Since N (119) is odd, the answer and question are valid. (If N had been even, the question would have been invalid, and the answer would have been meaningless. This test is simply a sanity check.) The three numbers are 119, 121, and 123.