1st integer/Smallest integer : x
2nd integer: x + 1
3rd integer: x + 2
4th integer: x + 3
5th integer: x + 4
Equation:
(x) + (x+1) + (x+2) + (x+3) + (x+4) = 165
5x + 10 = 165
5x = 165 - 10
5x/x = 155/5
x = 31
ANSWER: The first and smallest number/integer is 31.
Substitute 31 for x.
The first five consecutive integers are:
x = 31
31 + 1 = 32
31+ 2 = 33
31 + 3 = 34
31 + 4 = 35
Check:
31 + 32 + 33 + 34 + 35 = 165
165 = 165
