Question

The sum of three consecutive integers is 180. What are the integers?

Answer 1

If the integers were all the same, then each one would be 1/3 of 180 = 60.

-- Put all three 60s on the table in front of you. 

-- Take ' 1 ' away from the first one and drop it on the last one. 

-- Then you have  59,  60, and  61, and their sum is still  180.

Answer 2

$n+n+1+n+2=180\\ 3n+3=180\\ 3n=177\\ n=59\\ n+1=60\\ n+2=61$

Those numbers are 59,60,61.