Answer:
5
Step-by-step explanation:
1. according to the condition
[tex]\frac{price \ radio1}{price \ radio2} =\frac{x}{y}[/tex]
2. when the both prices are increased the ratio is
[tex]\frac{x+20}{y+20}=\frac{5}{2}[/tex]
3. when the both prices are reduced the ratio is
[tex]\frac{x-25}{y-25} =\frac{5}{1}[/tex]
4. using the equations written in steps 2&3 it is possible to make up the system of the two equations:
[tex]\left \{ {{\frac{x+20}{y+20}=\frac{5}{2} } \atop {\frac{x-25}{y-25}= \frac{5}{1} }} \right.[/tex]
where x=160; y=52.
5. ration x:y=5.
