Let the numbers be 8x and 7x, as they are in the ratio 8:7.
The sum of the two numbers is given as 60:
8x + 7x = 60
Simplifying the equation, we get:
15x = 60
Dividing both sides by 15, we get:
x = 4
Substituting this value of x back into our expressions for the numbers:
8x = 8(4) = 32
7x = 7(4) = 28
Therefore, the two numbers are 32 and 28.