Answer:
Step-by-step explanation:
Let's call and the prices. Initially, the ratio of the prices is
So, if the prices are both increased by 20, the ratio becomes 5:2, that can expressed as follows
Then, if the prices are both reduced by 5, the ratio becomes 5:1, that is
To solve this problem, we just need to substitute one equation into the other one, let's isolate from the first proportion
Now, we substitute into the second proportion and solve for
Then, we use this value to find the other one, by replacing it into the result of the first propotion
This means the ratio is
But, we can reduce it by simplifying both parts of the ratio
Therefore, the ratio in its lowest terms is