The sum of two numbers is 22 and there difference is 12 what are the numbers

Let the numbers be x and y.

Sum means addition.

Difference means subtraction.

x + y = 22

x - y = 12

Add the equations above.

2x = 34

x = 17

Now substitute 17 for x in the first equation.

x + y = 22

17 + y = 22

y = 5

The numbers are 5 and 17.

22 - 12 = 10

10 : 2 = 5

5 + 12 = 17

5 and 17