Since the ratio is 5:8
So let the numbers be 5 x and 8 x.
and according to the question
Their sum Is 182.
So 5x+8x = 182.
13x = 182
which implies x = 182/13 = 14
and hence the numbets are 5*(14) = 70 and 8*(14) = 112 .
i.e The numbers are 70 and 112