Question 32830
Let the 2 numbers be 8x and 5x
3 times the larger = 3(8x) = 24x
is 3 less than 5 times the smaller 
24X = 5(5x)-3

24x = 25x-3
Simplifying X = 3
So the numbers are 24 and 15

Check:
3 times the larger = 3(24) = 72
5 times the smaller  = 5(15) = 75
Difference = 75-72 = 3
Hence the answer is correct :-)