this is my attempt:
let the 7 consecutive number be n, n+1, n+2, n+3, n+4, n+5, n+6
add them all together u have 7n+21
which means 7n+21 = 182
from the system we can see n is our aim as it is the smallest number
7n = 182-21
7n= 161
n =161/7
n=23
so the answer is 23
hope this helps