Question

The sum of three consecutive integers is 120. What are the integers.

Answer 1

1. Three consecutive integers: x, x+1, x+2, such that:
x + x + 1 + x + 2 = 120
3 x + 3 = 120
3 x = 117
x = 117:3= 39
The integers are: 39,40,41.
2.
 x + x + 2 = x +1 +21
 2 x - x = 22 - 2
 x = 20
The integers are: 20,21,22.
3. Four consecutive even integers: x, x+2, x+4, x+6
4 ( x + x + 2 ) = 7 (x + 6 ) - 8
8 x + 8 = 7 x + 42 - 8
8 x - 7 x = 34 - 8
x = 26
The integers are: 26, 28, 30 , 32.