Question 338605
find four consecutive odd integers so that the sum of the smallest integer and the largest integer is the same as the sum of all four integers



4 consecutive odd integers: n, n + 2, n + 4, n + 6
sum of smallest integer and largest integer: n + n + 6 = 2n + 6
sum all 4 integers = n + n + 2 + n + 4 + n + 6 = 4n + 2 + 4 + 6 = 4n + 12


2n + 6 = 4n + 12
-2n = 6
n = -3


-3, -1, 1, 3


check:
sum of smallest and largest = -3 + 3 = 0
sum of all 4: -3 + -1 + 1 + 3 = -4 + 4 = 0
the sums are the same