The three integers are 417, 418 and 419
Step-by-step explanation:
Let the first number = x
The three consecutive numbers: x, x+1, and x+2
The sum of three consecutive integers = 1254
x + x+1 + x+2 = 1254
Collect like terms:
3x + 3 = 1254
3x = 1254 -3
3x = 1251
Divide through by 3:
x = 1251/3
x = 417
The consecutive numbers:
First number = x = 417
Second number = x+1 = 417+1
Second number = 418
Third number = x+2 = 417+2
Third number = 419
The three integers are 417, 418 and 419