So, today I came across a very simple (or so I though) math puzzle. If this is the wrong StackExchange please point me to the right place to ask.
The puzzle goes as such:
An object O weights 1 N and the half of the weight of object O. What is the weight of object O?
Of course, I formulated the following equation: $ W_O=1N + 0.5W_O $, so $ W_O = 2N $
My stupid question, as I am in no way a mathematician, is: Is that above equation a correct mathematical representation of said puzzle? If not, what would be the correct mathematical formulation? Is the answer $ 2N $ correct?
Let $x$ denote the weight of the object, hence $x=N+\frac12x$.
Subtract $\frac12x$ from each side of the equation, hence $\frac12x=N$.
Multiply each side of the equation by $2$, hence $x=2N$.
Therefore, the weight of the object (denoted by $x$) is $2N$.