# Just To Mess With Ya

Here’s an interesting math situation, wherein I prove that 2=1:

1.) Suppose you have quantities A and B, and suppose they are equal. That is,
A = B

2.) Multiply both sides by A:
A^2 = AB

3.) Now subtract B^2 from both sides:
A^2-B^2 = AB-B^2

4.) Factor both sides:
(A+B)(A-B) = B(A-B)

5.) Divide both sides by the common factor (A-B):
A+B = B

6.) Now, remembering that A=B, we have
B+B=B, or 2B=B

7.) Divide both sides by B:
2=1

And now, children, you will understand how Congress creates the national budget.

/Lewis Carroll

1. fastrichard says:

I had to look at that for a little while to figure out where it goes wrong. I’m not convinced that congress uses even that level of rational logic to arrive at what they do.

2. Weetabix says:

You just caused a discontinuity in space-time by doing the impermissible. 😉
To preserve the joy of the next readers, I won’t spoil it by saying what.

1. Mike M. says:

Yup, this is an old one….

3. Roy says:

I won’t give it away exactly, but I will point out that if A=B then A-B=?. You do the math.

1. Kim du Toit says:

No fair using calculus…
;=)