Question

The sum of two numbers is 50 and the difference is 12. What are the numbers?

Answer 1

Answer: x=31 and y = 19

Explanation:

X+y=50

X-y=12

2x + 0y = 62

Divide both sides by 2

2x/2 = 62/2

x = 31

Now find y by plugging in 31 for x

31+y = 50

Subtract 31

y = 50-31

y = 19

Answer 2

The two numbers are 31 and 19

Explanation:

Let x and y be the numbers

x+y = 50

x-y = 12

Add the two equations together

x+y = 50

x-y = 12

-----------------

2x +0y = 62

Divide by 2

2x/2 = 62/2

x = 31

Now find y

31+y = 50

Subtract 31

y = 50-31

y = 19