The answers are 31 and 32
The sum of two consecutive numbers is 63. Consecutive numbers are numbers that are in a row (e.g. 1, 2, and 3 are consecutive integers). This means we can represent the two consecutive numbers with x and x+1. Plugging the numbers back into the equation, you get
x + x+1 = 63
Simpifying, you get
2x+1 = 63
Now, you just need to isolate x. To do this, you should subtract 1 from both sides, making the equation.
2x=62
Lastly, you need to divide both sides by 2, making making the equation
x=31
The two integers are x and x+1, and when you plug 31 into that, the numbers are 31 and 32.