Answer:
The consecutive integers are:
18, 19, 20
Step-by-step explanation:
Let the three consecutive integers be:
x
x+ 1
x+2
Now according to given conditions:
x + x+1 +x + 2 = 21 + 2x
Adding like terms:
3x + 3 = 21 + 2x
Taking terms with x on left side and constants on right side
3x - 2x = 21 - 3 (Sign of transferred terms will be changed)
x = 18
So the consecutive terms become:
x = 18
x + 1 = 19
x + 2= 20
I hope it will help you!