Question

Find three consecutive odd integers whose sum is 363

Answer 1

Question: Find three consecutive odd integers whose sum is 363

To find the three odd integers, divide 363 by three (since thats the amount of integers you need to find)

$363$ ÷ $3=121$

Since you need three odd integers and since 121 is an odd integer, find the odd integer right below 121 and the one right above

119 is the odd integer right below 121
121 is the odd integer you kept untouched
123 is the odd integer right above 121

To check, add the integers: $119+121+123=363$

Answer: 119, 121, and 123

Answer 2

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.