The sum of two numbers is 60 and the difference is 2 what are the numbers.

31 and 29 because 31 plus 29 is 60 and 31 minus 29 is 2

Let the two numbers be x and y

Then

x + y = 60

And

x - y = 2

x = y + 2

Putting the value of x in the first equation we get

x + y = 60

y + 2 + y = 60

2y + 2 = 60

2y = 60 - 2

2y = 58

y = 58/2

y = 29

Now putting the value of y in the first equation we get

x + y = 60

x + 29 = 60

x = 60 - 29

x = 31

So the value of the two numbers comes out to be 31 and 29. I hope the procedure is clear enough for you to understand.