
David W. answered 11/17/16
Tutor
4.7
(90)
Experienced Prof
"three consecutive numbers" means x, (x+1), (x+2).
These are numbers like: 34, 35, 36 or 15, 16, 17 or 22, 23, 24.
"the sum . . . is 72) means
sum = x + (x+1) + (x+2)
or
sum = 34+35+36 = 105
Since the problem gives the sum as 72,
x + (x+1) + (x+2) = 72
3x + 3 = 72
3x = 69
x = 23
The three numbers are 23, 24, 25.
" what is the smallest of these numbers?"
The smallest of the three numbers is 23.