Write three different statements that should be solved by the following equation: $$$x-9=\dfrac{x}{2}$$$
Development:
First we solve the equation: $$$x-\dfrac{x}{2}=9 \Rightarrow \dfrac{2x-2}{2}=9 \Rightarrow \dfrac{x}{2}=9 \Rightarrow x=9\cdot2=18 $$$
Then, the first statement is direct if it expresses the relation that the equation denotes with words:
If $$9$$ is subtracted from a number, its half is obtained: what is this number?
An alternative statement might be transforming the number into candies, so that:
How many candies does Irene have if, once she has eaten $$9$$, she still has half the candies she originally had?
The equation is also valid for this statement since $$x-9$$ is the amount of candies that she has after eating up $$9$$ and $$\dfrac{x}{2}$$ are those that she has left in the end.
Also, an age statement might be written:
How old is Peter if $$9$$ years ago he was half the age that he is now?
If $$x$$ is the current age, $$x-9$$ is the age $$9$$ years ago, and $$\dfrac{x}{2}$$ half of its current age, therefore the equation is valid and Peter is $$18$$ years old.
Solution:
If $$9$$ is subtracted from a number, its half is obtained: what is this number?
How many candies does Irene have if, once she has eaten $$9$$, she still has half the candies she had?
How old is Peter if $$9$$ years ago he was half the age that he is now?
Among many other possibilities.