Question

The difference of two numbers is 8. the sum of the two numbers is 14. what are the two numbers?

Answer 1

Let, the numbers are: (a,b)
a + b = 14  -----(i)
a - b = 8 --------(ii)
a = 8 + b

Substitute for a in first equation:
8 + b + b = 14
8 + 2b = 14
2b = 14 - 8
2b = 6
b = 3

Now, substitute for b in first equation: 
a + 3 = 14
a = 14 - 3
a = 11

In short, Final numbers would be (a,b) = (11,3)

Hope this helps!