Answer:
[tex]1\:\mathrm{year}[/tex] (one solution)
Step-by-step explanation:
Let Ali's and Ahmet's ages be 3 and 4, respectively.
We have:
[tex]\frac{3+x}{4+x}=\frac{4}{5}[/tex]
Solving for [tex]x[/tex]:
[tex]5(3+x)=4(4+x),\\15+5x=16+4x,\\x=\boxed{1}[/tex]
*Since the question only stipulates that Ali and Ahmet have an age ratio of [tex]3:4[/tex], there are multiple solutions to this question.
