Question

find three consecutive odd integers whose sum is 363

Answer 1

119+121+123=363

Answer 2

how did you get those numbers

Answer 3

Suppose that k is our odd number.
Then k + 2 is the next odd number.
And k + 4 is the third odd number.

We want the sum of these numbers to be 363.
So we want (k) + (k+2) + (k+4) = 363.
So we want 3k + 6 = 363.
This gives us 3k = 357, which gives k = 119.