2 is equal to 3? Of course not

Estonian advertisement (July 2012)Photography by Carlos Dorce

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 = 3a – 2a

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

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

⇒ 3a – 3b – 3c = 2a – 2b – 2

⇒ 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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