161474

To solve this problem, we start with two terms; x and (x-2). The first thing I figured out is that x cannot be even, because then both terms would be even, and anything multiplied by an even number is an even number, therefore not giving us a difference of 2, which would only appear in an even and an odd number. Also, using the equation below, you wouldn’t multiply the number by a whole number. I don’t like by solution because I just used trial and error, but here it is:

x*((x-1)/2)- (x-2)*((x+1)/2)=1
Again, I don’t like my solution because I don’t understand why it works.