By applying the property of sequence of equivalent ratios,we have :

\(\dfrac{x}{2}=\dfrac{y}{3}=\dfrac{x+y}{2+3}=\dfrac{12}{5}=2.4\)\(\Rightarrow\left\{{}\begin{matrix}x=2.4\times2=4.8\\y=2.4\times3=7.2\end{matrix}\right.\)

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Very good

Arrcoding to the context, \(\dfrac{x}{2}=\dfrac{y}{3}\)

=>\(x.3=y.2\)   => \(\dfrac{3}{2}x=y\)  => \(x< y\)

We have 5 cases that satisfy\(x< y\)   and \(x+y=12\) . They are: 1+11 ; 2+10 ; 3+9 ; 4+8 ; 5+7. (We avoid\(-x\) and \(y\)   because \(-x\ne y\) ) In that 5 cases, no case are suitable for this text => NO ANSWER.

Answer: NO ANSWER