Question

The sum of two numbers is 36. The difference of the numbers is 14. What are the numbers? Write your answer as an ordered pair with no

spaces and in this order (smaller number, larger number)

Answer 1

11 and 25

Explanation:

The two numbers we'll call x and y. Let's set up equations to model the situation:

x+y=38

x-y=14

Solving the second one for x,

x=y+14

Plug this into the first equation for x and get:

(y+14)+y=36

2y+14=36

2y=36-14

2y=22

y=11

x-y=14

x-11=14

x=14+11

x=25

Answer 2

(11,25)

Explanation:

36-14 = 22

22/2= 11

11+14 = 25