Find two consecutive numbers with a sum of 45.

Answer 1

x(x+1) = 45
So, 2x + 1 - 1 = 45 -1
2x = 44
x = 22
To find the other number, 22 +1 = 23
The two numbers are 22 and 23.

Answer 2

or, consider that if they were both equal, they'd be 22.5
But they are not equal, but consecutive integers; so now just make them integers: 22 and 23