Estonian advertisement (July 2012)

**Photography by Carlos Dorce**

2 is equal to 3? I found this is the advertisement travelling in the ferry from Helsinki to Tallinn. It probably means that if you buy 2 bottles of Fresita Piccolo, you’ll receive three bottles so you’ll get one free bottle. Nevertheless, a good mathematician knows that 2 won’t never be equal to 3, doesn’t he? If we have

*a* = 3*a* – 2*a*

and we consider that *a = b + c*, then we have:

*3**a* – 2*a* = 3 (*b + c**) *– 2 (*b + c*) = 3*b* + 3*c* – 2*b* – 2*c *⇒

⇒ 3*a* – 3*b* – 3*c* = 2*a* – 2*b* – 2*c *⇒

⇒ 3 (*a – b – c*) = 2 (*a – b – c*)

And dividing by (*a – b – c*) in each sides, we obtain 3 = 2. Have I made a mistake?

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