The sum of two numbers is

44

and the difference is

16

. What are the numbers?

Large Number:

Small Number:

Let the numbers be x and y

x + y = 44 ... (i)

x - y = 16 ... (ii)

Add equations (i) and (ii)

x + y + x - y = 44 + 16

2x = 60

2x = 60

x = 60/2 = 30

Recall x + y = 44

30 + y = 44

y = 44 - 30

y = 14

Large Number = 30

Small Number = 16