Question

The sum of two numbers is

44
and the difference is
16
. What are the numbers?
Large Number:
Small Number:

Answer 1

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