find three consecutive odd integers such that the sum of the middle and largest integer is 21 more than the smallest integer

Answer 1

middle number --- x
1st number ---- x-2
3rd number --- x+2

middle + larger > smaller by 21
middle + larger = smaller + 21
x + x+2 = x-2 + 21
x = 17

the three numbers are 15, 17, 19

check:
sum of middle + larger = 17+19 = 36
the smaller = 15

is 36>15 by 21 ? , looks good