Three consecutive integers can be written as x, x + 1, and x + 2
There’s sums result in:
x + x + 1 + x + 2 = 60
Combine like terms:
3x + 3 = 60
Solve for x:
Subtract 3 from both sides:
3x + 3 - 3 = 60 -3
3x = 57
Divide by 3
3x/3 = 57/3
x = 19
Substitute 19 in for x in three equations for the consecutive numbers:
19
19 + 1
19 + 2
This gives the answer as:
19,20,21