Question 690934
Suppose the numbers are n, (n+1) and (n+2) where n is an integer
Then, {{{ (n) + (n+1) + (n+2) = 170 }}}, therefore
{{{ 3n + 3 = 170 }}}
{{{ 3n = 167 }}}
so it is not possible as n an integer

You can also see this by considering the sequences:
55, 56, 57 whose sum is 168
56, 57, 58 whose sum is 171

so there are no three consecutive numbers with sum 170.