Find two numbers if their difference is 16 and their ratio is 5:7.

Let us say that the numbers are x and y. The given clues are:

1. x - y = 16 (so x is the larger number)

2. y / x = 5 / 7

rewriting eqtn 2 in terms of y:

y = (5/7) x

combining 1 and 2:

x - (5/7) x = 16

(2/7) x = 16

x = 56

y = (5/7) x = 40

So the two numbers are 56 and 40.